question_answer 1)
If two angles in a triangle are \[\angle ABC\] and \[{{25}^{o}}\], then the third angle is
A)
\[{{35}^{o}}\] done
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B)
\[{{55}^{o}}\] done
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C)
\[{{208}^{o}}\] done
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D)
\[{{52}^{o}}\] done
clear
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question_answer 2)
Which of the following statement is false?
A)
The sum of two sides of a triangle is greater than the third side done
clear
B)
In a right angled triangle hypotenuse is the longest side done
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C)
A, B, C are collinear if AB + BC = AC done
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D)
None of these done
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question_answer 3)
Two sides of an isosceles triangle are 5 cm and 6 cm. Then the length of the third side is
A)
5cm done
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B)
6cm done
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C)
5 cm or 6 cm done
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D)
None of these done
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question_answer 4)
In the following figure if AB = AC then find\[\Delta XYZ\].
A)
\[\Delta XYZ\] done
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B)
\[{{60}^{o}}\] done
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C)
\[{{30}^{o}}\] done
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D)
\[{{80}^{o}}\] done
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question_answer 5)
In figure a \[{{100}^{o}}\], E is the mid-point of AC and G is the centroid of the triangle. Then BE: GE
A)
1:2 done
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B)
2:1 done
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C)
3:1 done
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D)
1:3 done
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question_answer 6)
The centroid of a triangle is the point where
A)
the medians meet done
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B)
the altitudes meet done
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C)
the right bisectors of the sides of the triangle meet done
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D)
the bisectors of the angles of the triangle meet done
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question_answer 7)
In a quadrilateral the angles are in the ratio 3:4:5:6. Then the difference between the greatest and the smallest angle is
A)
\[\angle DAC={{54}^{o}}\] done
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B)
\[\angle ACB={{63}^{o}}\] done
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C)
\[\angle BAC\] done
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D)
\[{{72}^{o}}\] done
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question_answer 8)
The angles of a quadrilateral are \[{{54}^{o}}\] and \[{{27}^{o}}\]. Find the greatest angle.
A)
\[{{90}^{o}}\] done
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B)
\[\angle BOD={{120}^{o}}\] done
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C)
\[\angle ACD\] done
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D)
None of these done
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question_answer 9)
Which of the following statement (s) is/are true?
A)
In a trapezium the diagonals bisect each other done
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B)
In a rectangle diagonals intersect at right angles done
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C)
The diagonals of a rhombus are equal done
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D)
None of these done
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question_answer 10)
In a parallelogram ABCD, diagonals AC and BD intersect at O. If AO = 5 cm, then AC =...........
A)
5cm done
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B)
20cm done
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C)
10cm done
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D)
None of these done
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question_answer 11)
In a Rhombus ABCD, if AB = AC, then \[{{30}^{o}}\]
A)
\[{{40}^{o}}\] done
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B)
\[{{60}^{o}}\] done
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C)
\[{{90}^{o}}\] done
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D)
\[{{30}^{o}}\] done
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question_answer 12)
A quadrilateral in which both pairs of opposite sides are parallel is a...........
A)
Square done
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B)
rhombus done
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C)
Rectangle done
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D)
parallelogram done
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question_answer 13)
If ABCD is a parallelogram, then \[{{45}^{o}}\]
A)
\[{{60}^{o}}\] done
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B)
\[{{75}^{o}}\] done
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C)
\[\angle CAD={{50}^{o}}\] done
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D)
\[\angle BED={{120}^{o}}\] done
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question_answer 14)
A quadrilateral in which diagonals are equal and bisect each other perpendicularly is a...........
A)
Square done
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B)
Rhombus which is not a square done
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C)
Rectangle which is not a square done
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D)
None of these done
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question_answer 15)
Which of the following properties are not true for a parallelogram?
A)
Its diagonals are equal done
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B)
Its diagonals are perpendicular to each other done
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C)
The diagonals divide the figure into four congruent triangles done
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D)
All the above done
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question_answer 16)
The perimeter of a parallelogram is 180 cm. One side exceeds the another by 10 cm. The adjacent sides of the parallelogram are........
A)
30cm, 40cm done
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B)
40cm, 50cm done
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C)
50 cm, 60 cm done
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D)
None of these done
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question_answer 17)
ABCD is a parallelogram in which \[\angle BCD\] and \[{{75}^{o}}\]then \[{{105}^{o}}\]
A)
\[{{85}^{o}}\] done
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B)
\[{{60}^{o}}\] done
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C)
\[\angle BAC={{45}^{o}}\] done
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D)
\[\angle BED={{120}^{o}}\] done
clear
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question_answer 18)
AB is a chord of length 24 cm of a circle with centre O and radius 13 cm. Find the distance of the chord from the centre.
A)
5cm done
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B)
6cm done
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C)
\[\angle ABD\] done
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D)
None of these done
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question_answer 19)
48 cm long chord of a circle is at a distance of 7 cm from the centre. Find the radius of the circle.
A)
5cm done
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B)
17cm done
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C)
25cm done
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D)
None of these done
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question_answer 20)
In the following figure, find the value of x.
A)
\[{{15}^{o}}\] done
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B)
\[{{30}^{o}}\] done
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C)
\[{{45}^{o}}\] done
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D)
None of these done
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question_answer 21)
In the given figure, \[{{60}^{o}}\] is inscribed in a circle with centre O. If \[\angle CAD={{40}^{o}}\], find \[\angle BDC={{25}^{o}}\].
A)
\[\angle BDC\] done
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B)
\[{{85}^{o}}\] done
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C)
Cannot be determined done
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D)
None of these done
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question_answer 22)
In the following figure, if O is the centre of the circle, then find x.
A)
\[{{120}^{o}}\] done
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B)
\[{{115}^{o}}\] done
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C)
\[{{95}^{o}}\] done
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D)
None of these done
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question_answer 23)
In the given figure, \[\angle PAD={{30}^{o}}\] is inscribed in a circle with centre O. If the length of the chord YZ is equal to the radius of the circle, then \[\angle CPA={{45}^{o}}\] =____
A)
\[\angle CBP\] done
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B)
\[{{105}^{o}}\] done
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C)
\[{{115}^{o}}\] done
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D)
\[{{135}^{o}}\] done
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question_answer 24)
In the given figure, O is the centre of a circle. If \[\Delta ABC\] and \[\angle BAC\] then \[\angle ECD={{30}^{o}}\] =_____
A)
\[\angle BAC\] done
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B)
\[x={{68}^{o}}\] done
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C)
\[\Delta ABC\] done
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D)
\[\Delta ABC\] done
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question_answer 25)
In the given figure, AB is a diameter of a circle with centre O. If\[{{72}^{o}}\], find\[{{54}^{o}}\].
A)
\[{{27}^{o}}\] done
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B)
\[{{90}^{o}}\] done
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C)
\[\angle BOD={{120}^{o}}\] done
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D)
\[\angle ACD\] done
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question_answer 26)
In the following figure, O is the centre of the circle. Find the value of x.
A)
\[{{30}^{o}}\] done
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B)
\[{{40}^{o}}\] done
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C)
\[{{60}^{o}}\] done
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D)
\[{{90}^{o}}\] done
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question_answer 27)
In the given figure, ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are joined. If\[{{30}^{o}}\]and\[\angle BDC=45{}^\circ \]. Find \[{{60}^{o}}\].
A)
\[{{75}^{o}}\] done
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B)
\[\angle CAD={{50}^{o}}\] done
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C)
\[\angle BED={{120}^{o}}\] done
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D)
\[\angle BCD\] done
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question_answer 28)
In the given figure, two chords AB and CD of a circle intersect each other at a point E such that\[{{75}^{o}}\],\[{{105}^{o}}\]. Then find\[{{85}^{o}}\].
A)
\[{{60}^{o}}\] done
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B)
\[\angle BAC={{45}^{o}}\] done
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C)
\[\angle BED={{120}^{o}}\] done
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D)
\[\angle ABD\] done
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question_answer 29)
In the given figure, ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are joined. If \[{{15}^{o}}\] and \[{{30}^{o}}\] Find \[{{45}^{o}}\].
A)
\[{{60}^{o}}\] done
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B)
\[\angle CAD={{40}^{o}}\] done
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C)
\[\angle BDC={{25}^{o}}\] done
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D)
\[\angle BDC\] done
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question_answer 30)
Two chords AB and CD of a circle cut each other when produced outside the circle at P. AD and BC are joined. If \[{{85}^{o}}\] and\[{{120}^{o}}\]. Find \[{{115}^{o}}\]
A)
\[{{95}^{o}}\] done
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B)
\[\angle PAD={{30}^{o}}\] done
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C)
\[\angle CPA={{45}^{o}}\] done
clear
D)
None of these done
clear
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question_answer 31)
In the given figure, \[\angle CBP\] is inscribed in a circle. The bisector of \[{{105}^{o}}\] meets BC at D and the circle at E. If EC is joined then\[{{115}^{o}}\]. Find \[{{135}^{o}}\].
A)
\[\Delta ABC\] done
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B)
\[\angle BAC\] done
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C)
\[\angle ECD={{30}^{o}}\] done
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D)
\[\angle BAC\] done
clear
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question_answer 32)
In the given figure, ABCD is a cyclic quadrilateral in which\[{{30}^{o}}\]. Find\[{{40}^{o}}\].
A)
\[{{50}^{o}}\] done
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B)
\[{{60}^{o}}\] done
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C)
\[\angle BAD={{120}^{o}}\] done
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D)
\[\angle BCD\] done
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question_answer 33)
In the given figure, PQ is a diameter of a circle with centre O and PQRS is a cyclic quadrilateral. SQ is joined. If\[{{240}^{o}}\], find\[{{60}^{o}}\].
A)
\[{{120}^{o}}\] done
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B)
\[{{180}^{o}}\] done
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C)
\[\angle R={{138}^{o}}\] done
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D)
\[\angle PQS\] done
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question_answer 34)
In the given figure, PQRS is a cyclic trapezium in which \[{{90}^{o}}\]If\[{{42}^{o}}\]. Find\[{{48}^{o}}\].
A)
\[{{38}^{o}}\] done
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B)
\[PQ||SR.\] done
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C)
Data not sufficient done
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D)
None of these done
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question_answer 35)
Two circles intersect in A and B. Quadrilaterals PCBA and ABDE are inscribed in these circles such that PAE and CBD are line segments. If \[\angle P={{82}^{o}}\] and \[\angle S\]. Find the value of z.
A)
\[{{98}^{o}}\] done
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B)
\[{{108}^{o}}\] done
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C)
\[\angle P={{95}^{o}}\] done
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D)
\[\angle C={{40}^{o}}\] done
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question_answer 36)
In the adjoining figure, it is given that \[{{65}^{o}}\] \[{{105}^{o}}\] and \[{{95}^{o}}\]. Then, \[{{85}^{o}}\] ______.
A)
\[\angle A={{60}^{o}},\] done
clear
B)
\[CE||BA\] done
clear
C)
\[\angle ECD={{65}^{o}}\] done
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D)
\[\angle ACB=\] done
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question_answer 37)
In the adjoining figure, it is given that\[{{60}^{o}}\], is a transversal. Then the value of x is
A)
\[{{55}^{o}}\] done
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B)
\[\frac{BF}{FD}=\frac{BE}{EA}\] done
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C)
\[\Rightarrow \] done
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D)
None of these done
clear
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question_answer 38)
In the adjoining figure, it is given that D and E are the mid-points of AB and AC, respectively If \[\frac{4}{6}=\frac{8}{EA}\], \[\Rightarrow \]then \[EA=12cm.\]____
A)
\[\Delta ABC\] done
clear
B)
\[{{15}^{o}}\] done
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C)
\[{{30}^{o}}\] done
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D)
\[{{45}^{o}}\] done
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question_answer 39)
In the adjoining figure, a \[{{60}^{o}}\] has been given in which AD is its median, E is the mid-point of AD, BE produced meets AC at F and \[\angle CAD={{40}^{o}}\], meets AC at G. If AC = 5.4 cm then the length of AF is
A)
3.6cm done
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B)
2.7cm done
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C)
1.8cm done
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D)
10.8cm done
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question_answer 40)
In the adjoining figure, ABC is a triangle in which D and E are the mid points of AB and AC, respectively. If BC = 4.6 cm then DE = ______
A)
9.2cm done
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B)
2.3cm done
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C)
5.0cm done
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D)
6.4cm done
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question_answer 41)
In a \[\angle BDC={{25}^{o}}\], D is any point on AB and \[\angle BDC\] meets AC at E. If AD = 2.5 cm, DB = 6 cm and AE = 3 cm, then AC =
A)
8.5cm done
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B)
10.2cm done
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C)
5cm done
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D)
12cm done
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question_answer 42)
In the given figure, \[{{85}^{o}}\] and \[{{120}^{o}}\]. If BF = 4 cm, FD =6 cm and BE = 8 cm, then BC = _____
A)
12cm done
clear
B)
15cm done
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C)
25cm done
clear
D)
None of these done
clear
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question_answer 43)
In the given figure, \[{{115}^{o}}\]\[{{95}^{o}}\] and \[\angle PAD={{30}^{o}}\]. If AO = 5.4 cm, OC = 7.2 cm and BO = 6 cm, then the length of DO is
A)
4.5cm done
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B)
4cm done
clear
C)
5cm done
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D)
6.5cm done
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question_answer 44)
If two lines are perpendicular to the third line, then those two lines are
A)
Perpendicular to each other done
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B)
parallel to each other done
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C)
Either parallel or perpendicular done
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D)
Neither parallel nor perpendicular done
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question_answer 45)
If ABCD is a quadrilateral and E, F, G, H are the mid-points of AB, BC, CD and DA respectively, then EFGH is a
A)
rectangle done
clear
B)
square done
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C)
rhombus done
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D)
parallelogram done
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question_answer 46)
ABCD is a parallelogram. The angle bisectors of \[\angle CPA={{45}^{o}}\] and \[\angle CBP\] meet at O. The measure of \[{{105}^{o}}\] is
A)
\[{{115}^{o}}\] done
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B)
\[{{135}^{o}}\] done
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C)
dependent on the angles A and D done
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D)
cannot be determined from given data done
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question_answer 47)
The diameter of circum circle of a rectangle is 10 cm and breadth of the rectangle is 6 cm. Its length is
A)
6cm done
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B)
5cm done
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C)
8cm done
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D)
None of these done
clear
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question_answer 48)
ABCD is a quadrilateral. AB = BC = CD = DA and \[\Delta ABC\]. Then ABCD can be called
A)
rhombus done
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B)
square done
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C)
parallelogram done
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D)
all of the above done
clear
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question_answer 49)
RSTU is a parallelogram as shown in the figure below. Then the shown angles x and y are related
A)
x = y done
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B)
\[\angle BAC\] done
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C)
\[\angle ECD={{30}^{o}}\] done
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D)
can not be determined from given data done
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question_answer 50)
ABCD and MNOP are quadrilaterals as shown in the below given figure, then
A)
\[\angle BAC\] done
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B)
\[{{30}^{o}}\] done
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C)
\[{{40}^{o}}\] done
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D)
none of the foregoing done
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question_answer 51)
In a square ABCD, the diagonals bisect at 0. Then triangle AOB is
A)
an equilateral triangle done
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B)
an isosceles but not a right angled triangle done
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C)
a right angled but not an isosceles triangle done
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D)
an isosceles right angled triangle done
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question_answer 52)
The perimeter of a parallelogram is 180 cm. One side exceeds another by 10 cm. The sides of the parallelogram are
A)
40 cm, 50 cm done
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B)
45 cm each done
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C)
50 cm each done
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D)
cannot be determined done
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question_answer 53)
In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. Then, ABCD is a
A)
square done
clear
B)
parallelogram done
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C)
rhombus done
clear
D)
trapezium done
clear
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question_answer 54)
In a parallelogram ABCD, if \[{{50}^{o}}\] \[{{60}^{o}}\] \[\angle BAD={{120}^{o}}\]and \[\angle BCD\] then ratio of AB: BC is
A)
71:21 done
clear
B)
12:11 done
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C)
31:35 done
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D)
4:7 done
clear
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question_answer 55)
The diagonals of a parallelogram ABCD intersect at O. If \[{{240}^{o}}\], then \[{{60}^{o}}\] is
A)
\[{{120}^{o}}\] done
clear
B)
\[{{180}^{o}}\] done
clear
C)
\[\angle R={{138}^{o}}\] done
clear
D)
\[{{90}^{o}}\] done
clear
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question_answer 56)
A diagonal of a rectangle is inclined to one side of the rectangle at\[\angle PQS\]. The acute angle between the diagonals is
A)
\[{{90}^{o}}\] done
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B)
\[{{42}^{o}}\] done
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C)
\[{{48}^{o}}\] done
clear
D)
\[{{38}^{o}}\] done
clear
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question_answer 57)
If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio 3:7:6:4, then PQRS is a
A)
Rhombus done
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B)
parallelogram done
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C)
Trapezium done
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D)
kite done
clear
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question_answer 58)
ABCD is a square E, F, G, H are the mid-points of the four sides. Then the figure EFGH is
A)
Square done
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B)
rectangle done
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C)
Trapezium done
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D)
parallelogram done
clear
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question_answer 59)
If a quadrilateral has two adjacent sides equal and the other two sides equal it is called
A)
parallelogram done
clear
B)
square done
clear
C)
rectangle done
clear
D)
kite done
clear
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question_answer 60)
If two adjacent angles of a parallelogram are in the ratio 3 : 2, then the measure of the angles are
A)
\[PQ||SR.\] done
clear
B)
\[\angle P={{82}^{o}}\] done
clear
C)
\[\angle S\] done
clear
D)
\[{{98}^{o}}\] done
clear
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question_answer 61)
Which of the following statements is/are correct?
A)
The diagonals of a rectangle are perpendicular. done
clear
B)
The diagonals of a rhombus are equal. done
clear
C)
Every square is a rhombus. done
clear
D)
None of these done
clear
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question_answer 62)
In a quadrilateral PQRS, if\[{{108}^{o}}\] and\[\angle P={{95}^{o}}\]. What is the measure of\[\angle C={{40}^{o}}\]?
A)
\[{{65}^{o}}\] done
clear
B)
\[{{105}^{o}}\] done
clear
C)
\[{{95}^{o}}\] done
clear
D)
\[{{85}^{o}}\] done
clear
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question_answer 63)
If the lengths of two diagonals of a rhombus are 12 cm and 16 cm, then the length of each side of the rhombus is
A)
10cm done
clear
B)
14cm done
clear
C)
cannot be determined done
clear
D)
None of these done
clear
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question_answer 64)
The circumference of a circle is 60 cm. The length of an arc of \[\angle A={{60}^{o}},\]is
A)
10 done
clear
B)
15cm done
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C)
20cm done
clear
D)
None of these done
clear
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question_answer 65)
In a circle, the major arc is twice the minor arc. The corresponding central angles and the degree measures of the two arcs are
A)
\[CE||BA\]and \[\angle ECD={{65}^{o}}\] done
clear
B)
\[\angle ACB=\]and \[{{60}^{o}}\] done
clear
C)
\[{{55}^{o}}\]and \[{{70}^{o}}\] done
clear
D)
\[{{90}^{o}}\]and\[l||m,\] done
clear
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question_answer 66)
In the below drawn figure if \[{{130}^{o}}\],then \[{{50}^{o}}\] and \[{{120}^{o}}\] are respectively
A)
\[\angle A={{80}^{o}}\] and \[\angle C={{35}^{o}}\] done
clear
B)
\[\angle EDB=\] and \[{{120}^{o}}\] done
clear
C)
\[{{160}^{o}}\] and \[{{70}^{o}}\] done
clear
D)
\[{{115}^{o}}\] and \[\Delta ABC\] done
clear
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question_answer 67)
P, Q, R, S, T and U are points on the circle shown below and the length of arc PQR is 6 cm. Then length of arc STU is
A)
12cm done
clear
B)
\[DG||EF\] cm done
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C)
6cm done
clear
D)
cannot be determined from the given data done
clear
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question_answer 68)
O is the centre of the circle as shown in the diagram. The distance between P and Q is 4 cm. Then the measure of\[\Delta ABC\] is
A)
\[DE||BC\] done
clear
B)
\[y-3x=-9\] done
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C)
\[\angle BAC\] done
clear
D)
\[{{30}^{o}}\] done
clear
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question_answer 69)
C is the centre of the circle as shown in the below diagram. Then, \[{{40}^{o}}\] is equal to
A)
\[{{50}^{o}}\] done
clear
B)
\[{{60}^{o}}\] done
clear
C)
\[\angle BAD={{120}^{o}}\] done
clear
D)
\[\angle BCD\] done
clear
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question_answer 70)
Given a circle as shown in below figure. If the length of arc ABC is 12 cm then length of arc ADC is
A)
12cm done
clear
B)
8cm done
clear
C)
16cm done
clear
D)
cannot be determined from given data done
clear
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question_answer 71)
Triangle PQR is inscribed in a circle. If PQ = 4 cm, \[{{240}^{o}}\], then QR is equal to
A)
4cm done
clear
B)
8cm done
clear
C)
6cm done
clear
D)
cannot be determined from given data done
clear
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question_answer 72)
The length \[{{60}^{o}}\]of a tangent, drawn from a point A to a circle is \[{{120}^{o}}\]of the radius r. The shortest distance from A to the circle is
A)
\[{{180}^{o}}\] done
clear
B)
r done
clear
C)
\[\angle R={{138}^{o}}\] done
clear
D)
\[\angle PQS\] done
clear
View Solution play_arrow
question_answer 73)
Given a circle and a quadrilateral ABCD inscribed in it as shown. If \[{{90}^{o}}\], is equal to\[{{42}^{o}}\] is equal to
A)
\[{{48}^{o}}\] done
clear
B)
\[{{38}^{o}}\] done
clear
C)
\[PQ||SR.\] done
clear
D)
\[\angle P={{82}^{o}}\] done
clear
View Solution play_arrow
question_answer 74)
Given a chord AB in a circle as shown. If two more chords AD and BE are drawn perpendicular to AB then
A)
\[\angle S\] done
clear
B)
\[{{98}^{o}}\] done
clear
C)
\[{{108}^{o}}\] done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 75)
As shown in figure, ABC is a triangle inscribed in a circle with centre O. If \[\angle P={{95}^{o}}\] then \[\angle C={{40}^{o}}\]is equal to
A)
\[{{65}^{o}}\] done
clear
B)
\[{{105}^{o}}\] done
clear
C)
\[{{95}^{o}}\] done
clear
D)
\[{{85}^{o}}\] done
clear
View Solution play_arrow
question_answer 76)
O is the centre of a circle and if \[\angle A={{60}^{o}},\] then \[CE||BA\] is equal to
A)
\[\angle ECD={{65}^{o}}\] done
clear
B)
\[\angle ACB=\] done
clear
C)
\[{{60}^{o}}\] done
clear
D)
\[{{55}^{o}}\] done
clear
View Solution play_arrow
question_answer 77)
The angles of a quadrilateral are 1:4:2:3. The quadrilateral is a
A)
parallelogram done
clear
B)
square done
clear
C)
Trapezium done
clear
D)
rectangle done
clear
View Solution play_arrow
question_answer 78)
If three medians of a triangle are equal, then triangle is called
A)
Isoceles done
clear
B)
equilateral done
clear
C)
a right angled done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 79)
If each interior angle of a regular polygon is twice as large as the exterior angle, the number of sides is
A)
4 done
clear
B)
6 done
clear
C)
10 done
clear
D)
8 done
clear
View Solution play_arrow
question_answer 80)
If two sides of two triangles are parallel and equal to each, then the triangles satisfy one of the following properties of congruency.
A)
SSS done
clear
B)
AAA done
clear
C)
SAS done
clear
D)
ASS done
clear
View Solution play_arrow
question_answer 81)
What is the relation between x and y?
A)
\[{{70}^{o}}\] done
clear
B)
\[{{90}^{o}}\] done
clear
C)
\[l||m,\] done
clear
D)
\[{{130}^{o}}\] done
clear
View Solution play_arrow
question_answer 82)
Two base angles of a triangle ABC are bisected and meet at P. What is the measure of angle BPC if\[{{50}^{o}}\] and\[{{120}^{o}}\].
A)
\[\angle A={{80}^{o}}\] done
clear
B)
\[\angle C={{35}^{o}}\] done
clear
C)
\[\angle EDB=\] done
clear
D)
\[{{120}^{o}}\] done
clear
View Solution play_arrow
question_answer 83)
The interior angle of a regular polygon exceeds the exterior angle by\[{{160}^{o}}\]. How many sides are there in the polygon?
A)
15 done
clear
B)
16 done
clear
C)
18 done
clear
D)
20 done
clear
View Solution play_arrow
question_answer 84)
The angles of a pentagon in degree are \[{{70}^{o}}\]\[{{115}^{o}}\]and \[\Delta ABC\]. What is the measure of the largest angle?
A)
\[DG||EF\] done
clear
B)
\[\Delta ABC\] done
clear
C)
\[DE||BC\] done
clear
D)
\[EF||AD\] done
clear
View Solution play_arrow
question_answer 85)
The number of sides of a regular polygon is double that of another and the magnitude of its angle is also double that of the other. Find the number of sides of the polygon.
A)
3 done
clear
B)
8 done
clear
C)
10 done
clear
D)
12 done
clear
View Solution play_arrow
question_answer 86)
Two circles of radii 7 cm and 3 cm are drawn with centers M and N respectively. Their transverse common tangents meet MN at P. The point P divides MN in ratio.
A)
2 : 5 internally done
clear
B)
7 : 3 internally done
clear
C)
3 : 7 externally done
clear
D)
5 : 2 externally done
clear
View Solution play_arrow
question_answer 87)
Find the measurement of the length PD:
A)
2.5 done
clear
B)
1.5 done
clear
C)
2A done
clear
D)
1.75 done
clear
View Solution play_arrow
question_answer 88)
Calculate the area of the trapezium ABCD shown below
\[ED||AC\]
A)
\[DA\bot AB,\] done
clear
B)
\[CB\bot AB\] done
clear
C)
20 done
clear
D)
\[OM\bot AB\] done
clear
View Solution play_arrow
question_answer 89)
The diagram shown is a quadrilateral ABCD inscribed in a circle. If AB = AD and CB = CD, then the measure of \[\angle A\] is
A)
\[\angle D\] done
clear
B)
\[\angle AOD\] done
clear
C)
\[{{45}^{o}}\] done
clear
D)
indeterminate done
clear
View Solution play_arrow
question_answer 90)
AB = 8 cm, BC = 12 cm\[{{90}^{o}}\]. The area of \[\because \] is:
A)
\[AB=AD\] done
clear
B)
\[\angle A=\angle B=\angle C=\angle D={{90}^{o}}\] done
clear
C)
\[{{95}^{o}}\] done
clear
D)
\[{{85}^{o}}\] done
clear
View Solution play_arrow
question_answer 91)
In the figure\[\angle A={{60}^{o}},\]\[CE||BA\]. The value of \[\angle ECD={{65}^{o}}\]is:
A)
\[\angle ACB=\] done
clear
B)
\[{{60}^{o}}\] done
clear
C)
\[{{55}^{o}}\] done
clear
D)
\[{{70}^{o}}\] done
clear
View Solution play_arrow
question_answer 92)
In the figure CD is parallel to BA. The value of y is:
A)
\[{{90}^{o}}\] done
clear
B)
\[l||m,\] done
clear
C)
\[{{130}^{o}}\] done
clear
D)
\[{{50}^{o}}\] done
clear
View Solution play_arrow
question_answer 93)
In a \[{{120}^{o}}\], the bisectors of exterior angles \[\angle A={{80}^{o}}\]and \[\angle C={{35}^{o}}\] meet at 0, If \[\angle EDB=\] then \[{{120}^{o}}\]
A)
\[{{160}^{o}}\] done
clear
B)
\[{{70}^{o}}\] done
clear
C)
\[{{115}^{o}}\] done
clear
D)
\[\Delta ABC\] done
clear
View Solution play_arrow
question_answer 94)
In figure the angle x is equal to:
A)
\[DG||EF\] done
clear
B)
\[\Delta ABC\] done
clear
C)
\[DE||BC\] done
clear
D)
\[EF||AD\] done
clear
View Solution play_arrow
question_answer 95)
In figure points A, B, C and D are co cyclic and \[ED||AC\], then \[DA\bot AB,\]is equal to:
A)
\[CB\bot AB\] done
clear
B)
\[OM\bot AB\] done
clear
C)
\[\angle A\] done
clear
D)
\[\angle D\] done
clear
View Solution play_arrow
question_answer 96)
In\[\angle AOD\], the medians BE and CF intersect at G. AGD is a line meeting BC at D. If the GD = 1.5 cm, then AD is equal to:
A)
2.5cm done
clear
B)
3cm done
clear
C)
4cm done
clear
D)
4.5cm done
clear
View Solution play_arrow
question_answer 97)
In an equilateral triangle \[{{45}^{o}}\] then:
A)
\[{{90}^{o}}\] done
clear
B)
\[\angle A=\angle B=\angle C=\angle D={{90}^{o}}\] done
clear
C)
\[x<y\] done
clear
D)
\[x>y\] done
clear
View Solution play_arrow
question_answer 98)
In adjoining the figure the value of x is:
A)
\[\angle 1+\angle 2+\angle 3+\angle 4=\angle 5+\angle 6+\angle 7+\angle 8\] done
clear
B)
\[\angle 1+\angle 2+\angle 3+\angle 4<\angle 5+\angle 6+\angle 7+\angle 8\] done
clear
C)
\[\angle 1+\angle 2+\angle 3+\angle 4>\angle 5+\angle 6+\angle 7+\angle 8\] done
clear
D)
\[AB=2x+5,\] done
clear
View Solution play_arrow
question_answer 99)
Which of the following statements is incorrect:
A)
Every parallelogram is a quadrilateral done
clear
B)
Every rectangle is a parallelogram done
clear
C)
Every rhombus is a parallelogram done
clear
D)
Every trapezium is a parallelogram done
clear
View Solution play_arrow
question_answer 100)
The sum of the exterior angles of a hexagon is
A)
\[360{}^\circ \] done
clear
B)
\[540{}^\circ \] done
clear
C)
\[720{}^\circ \] done
clear
D)
none of these done
clear
View Solution play_arrow
question_answer 101)
The angle which exceeds its complement by \[20{}^\circ \]is
A)
\[45{}^\circ \] done
clear
B)
\[55{}^\circ \] done
clear
C)
\[70{}^\circ \] done
clear
D)
\[110{}^\circ \] done
clear
View Solution play_arrow
question_answer 102)
The angle which is one fifth of its supplement is
A)
\[15{}^\circ \] done
clear
B)
\[30{}^\circ \] done
clear
C)
\[45{}^\circ \] done
clear
D)
\[60{}^\circ \] done
clear
View Solution play_arrow
question_answer 103)
The sum of angles of a quadrilateral is
A)
\[180{}^\circ \] done
clear
B)
\[360{}^\circ \] done
clear
C)
\[270{}^\circ \] done
clear
D)
none of these done
clear
View Solution play_arrow
question_answer 104)
ABC is a triangle whose sides BC and CA are produced to D and E respectively. If \[{{100}^{o}},{{80}^{o}}\]\[{{144}^{o}},{{36}^{o}}\], then the value of \[\angle P=\angle R={{100}^{o}}\] is
A)
\[\angle S={{75}^{o}}\] done
clear
B)
\[\angle Q\] done
clear
C)
\[{{50}^{o}}\] done
clear
D)
\[{{85}^{o}}\] done
clear
View Solution play_arrow
question_answer 105)
Each interior angle of a regular polygon of n sides \[{{120}^{o}}\] contains
A)
4n done
clear
B)
\[{{360}^{o}}\]right angles done
clear
C)
\[{{90}^{o}}\] right angles done
clear
D)
\[\frac{2(n-2)}{n}\]right angles done
clear
View Solution play_arrow
question_answer 106)
If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is
A)
Isosceles done
clear
B)
scalene done
clear
C)
Equilateral done
clear
D)
right angled done
clear
View Solution play_arrow
question_answer 107)
In \[\Delta PQR,\]\[PQ=PR,\]\[\angle QPR\]is equal to
A)
\[20{}^\circ \] done
clear
B)
\[30{}^\circ \] done
clear
C)
\[40{}^\circ \] done
clear
D)
\[50{}^\circ \] done
clear
View Solution play_arrow
question_answer 108)
The magnitude of\[\angle ABC,\] if\[\angle AOC=120{}^\circ \]will be
A)
\[125{}^\circ \] done
clear
B)
\[\angle 1+\angle 2+\angle 3+\angle 4<\angle 5+\angle 6+\angle 7+\angle 8\] done
clear
C)
\[\angle 1+\angle 2+\angle 3+\angle 4>\angle 5+\angle 6+\angle 7+\angle 8\] done
clear
D)
\[AB=2x+5,\] done
clear
View Solution play_arrow
question_answer 109)
In the following fig. if AB = AC and BD = DC, then \[CD=y+1,\]
A)
\[AD=y+5\] done
clear
B)
\[BC=3x-4\] done
clear
C)
\[\angle BOC={{90}^{o}}\] done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 110)
In the below given figure, find\[\angle AOB\].
A)
\[{{10}^{o}}\] done
clear
B)
\[{{40}^{o}}\] done
clear
C)
\[{{50}^{o}}\] done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 111)
Consider the following statements: (1) The diagonals of a parallelogram are equal (2) The diagonals of a rectangle are perendicular to each other (3) If the diagonals of a quadrilateral intersect at right angles, it is not necessarily a rhombus. (4) Every quadrilateral is either a trapezium or a parallelogram or a kite. Which of the above statements is/are correct?
A)
Only 2 done
clear
B)
Only 3 done
clear
C)
Both 2 & 3 done
clear
D)
All of them done
clear
View Solution play_arrow
question_answer 112)
A triangle ABC is inscribed in a circle, and the bisectors of the angles meet the circumference at X, Y, Z. The angles of the triangle X, Y, Z are respectively
A)
\[{{25}^{o}}\] done
clear
B)
\[{{25}^{o}}\] done
clear
C)
\[{{40}^{o}}\] done
clear
D)
\[{{50}^{o}}\] done
clear
View Solution play_arrow
question_answer 113)
Two parallel chords on the same side of the centre of a circle are 10 cm and 24 cm long and their distance apart is 7 cm. The radius of the circle is
A)
13cm done
clear
B)
8cm done
clear
C)
5cm done
clear
D)
7cm done
clear
View Solution play_arrow
question_answer 114)
If r = 2.5, AB = 3, OP = 4.5, find PB approximate to two places of decimal.
A)
2.53 done
clear
B)
2.72 done
clear
C)
3.15 done
clear
D)
2.75 done
clear
View Solution play_arrow
question_answer 115)
From the given information in the figure. The value of \[{{55}^{o}}\]is:
A)
\[{{108}^{o}},{{72}^{o}}\] done
clear
B)
\[{{72}^{o}},{{36}^{o}}\] done
clear
C)
\[{{100}^{o}},{{80}^{o}}\] done
clear
D)
\[{{144}^{o}},{{36}^{o}}\] done
clear
View Solution play_arrow
question_answer 116)
In figure \[\angle P=\angle R={{100}^{o}}\] If \[\angle S={{75}^{o}}\] The ratio of the areas of \[\angle Q\] and the trapezium BCED is:
A)
3:5 done
clear
B)
9:16 done
clear
C)
6:9 done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 117)
In the figure BD = DC and\[{{50}^{o}}\]. The value of \[{{85}^{o}}\]is:
A)
\[{{120}^{o}}\] done
clear
B)
\[{{360}^{o}}\] done
clear
C)
\[{{90}^{o}}\] done
clear
D)
\[{{90}^{o}}\] done
clear
View Solution play_arrow
question_answer 118)
The diagonals of a quadrilateral intersect at right angles and it has exactly one axis of symmetry. The quadrilateral is a:
A)
Square done
clear
B)
rhombus done
clear
C)
Kite done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 119)
In the given figure \[{{270}^{o}}\], O is the centroid of \[{{60}^{o}}\] PQ = 5 cm and QR = 12 cm, then OQ is equal to:
A)
\[{{300}^{o}}\] done
clear
B)
\[{{240}^{o}}\] done
clear
C)
\[{{120}^{o}}\] done
clear
D)
\[{{120}^{o}}\] done
clear
View Solution play_arrow
question_answer 120)
In the figure \[{{240}^{o}}\] \[\angle C={{30}^{o}}\] is equal to
A)
\[\angle A\] done
clear
B)
\[\angle B\] done
clear
C)
\[{{60}^{o}}\] done
clear
D)
\[{{90}^{o}}\] done
clear
View Solution play_arrow
question_answer 121)
In the above figure, the measure of\[{{90}^{o}}\]is
A)
\[{{60}^{o}}\] done
clear
B)
\[{{45}^{o}}\] done
clear
C)
\[{{105}^{o}}\] done
clear
D)
\[\therefore \] done
clear
View Solution play_arrow
question_answer 122)
The interior angle of a regular polygon exceeds the exterior angle by\[\frac{AB}{BC}=\frac{PQ}{QR}\]. Then the number of sides in the polygon is
A)
12 done
clear
B)
13 done
clear
C)
14 done
clear
D)
15 done
clear
View Solution play_arrow
question_answer 123)
AB is a diameter of a circle with centre O and radius OD is perpendicular to AB. If C is any point on arc DB, then the measures of \[\angle 4=\angle 2\] and \[\angle 6=\angle 3\] will be
A)
\[\angle 1=\angle 2\] done
clear
B)
\[\angle 3=\angle 5\] done
clear
C)
\[{{180}^{o}}\] done
clear
D)
\[\angle 1+\angle 3={{180}^{o}}\] done
clear
View Solution play_arrow
question_answer 124)
In this figure, \[\angle ABC={{90}^{o}}\] is equal to
A)
\[\therefore \] done
clear
B)
\[\therefore \] done
clear
C)
\[{{25}^{o}}\] done
clear
D)
\[{{40}^{o}}\] done
clear
View Solution play_arrow
question_answer 125)
Which of the following statement is correct?
A)
The difference of any two sides of a \[\Delta \] is less than the third side done
clear
B)
A triangle cannot have two obtuse angles done
clear
C)
A triangle cannot have an obtuse angle and a right angle done
clear
D)
All the above done
clear
View Solution play_arrow
question_answer 126)
Which of the following statements is true?
A)
Two line segments having the same length are congruent. done
clear
B)
Two squares having the same side length are congruent. done
clear
C)
Two circles having the same radius are congruent. done
clear
D)
All the above done
clear
View Solution play_arrow
question_answer 127)
Which of the following statement(s) is/are false?
A)
Two triangles having same area are congruent. done
clear
B)
If two sides and one angle of a triangle are equal to the corresponding two sides and the angle of another triangle, then the two triangles are congruent. done
clear
C)
If the hypotenuse of one right triangle is equal to the hypotenuse of another triangle, then the triangles are congruent. done
clear
D)
All the above done
clear
View Solution play_arrow
question_answer 128)
Which of the following statement is true?
A)
The centroid of an acute angled triangle lies in the interior of the triangle. done
clear
B)
The orthocenter of an acute angled triangle lies in the interior of the triangle done
clear
C)
The circum center of an acute angled triangle lies in the interior of the triangle done
clear
D)
All the above done
clear
View Solution play_arrow
question_answer 129)
Which of the following statements is true?
A)
The orthocenter of a right angled triangle is the vertex containing right angle. done
clear
B)
The circum center of a right angled triangle is the mid-point of its hypotenuse. done
clear
C)
The centroid of a right angled triangle lies in the interior of the triangle. done
clear
D)
All the above. done
clear
View Solution play_arrow
question_answer 130)
Which of the following statement is true?
A)
The centroid of an obtuse angled triangle lies in the interior of the triangle done
clear
B)
Ortho centre of an obtuse angled triangle lies in the exterior of the triangle done
clear
C)
Circum centre of an obtuse angled triangle lies in the exterior of the triangle done
clear
D)
All the above done
clear
View Solution play_arrow
question_answer 131)
Which of the following statement(s) is /are false?
A)
Each diagonal of a quadrilateral divides it into two triangles done
clear
B)
Each side of a quadrilateral is less than the sum of the remaining three sides done
clear
C)
A quadrilateral can utmost have three obtuse angles done
clear
D)
A quadrilateral has four diagonals done
clear
View Solution play_arrow
question_answer 132)
Which of the following statement (s) is/are true?
A)
A parallelogram in which two adjacent angles are equal is a rectangle. done
clear
B)
A quadrilateral in which both pairs of opposite angles are equal is parallelogram. done
clear
C)
In a parallelogram the number of acute angles is zero (or) two done
clear
D)
All the above done
clear
View Solution play_arrow
question_answer 133)
A quadrilateral is a rhombus but not a square if
A)
Its diagonals do not bisect each other done
clear
B)
Its diagonals are not perpendicular done
clear
C)
Opposite angles are not equal done
clear
D)
The length of diagonals are not equal done
clear
View Solution play_arrow
question_answer 134)
Which of the following statement(s) is/are true?
A)
Two chords of a circle equidistant from the centre are equal in length. done
clear
B)
Equal chords in a circle subtend equal angles at the centre. done
clear
C)
Angle in a semi-circle is a right angle. done
clear
D)
All the above done
clear
View Solution play_arrow
question_answer 135)
In the given circle, 0 is the centre and\[{{50}^{o}}\]. Then \[{{55}^{o}}\] is equal to
A)
\[{{108}^{o}},{{72}^{o}}\] done
clear
B)
\[{{72}^{o}},{{36}^{o}}\] done
clear
C)
\[{{100}^{o}},{{80}^{o}}\] done
clear
D)
\[{{144}^{o}},{{36}^{o}}\] done
clear
View Solution play_arrow
question_answer 136)
In this figure, FED is a straight line, \[\angle P=\angle R={{100}^{o}}\] is equal to
A)
\[\angle S={{75}^{o}}\] done
clear
B)
\[\angle Q\] done
clear
C)
\[{{50}^{o}}\] done
clear
D)
\[{{85}^{o}}\] done
clear
View Solution play_arrow
question_answer 137)
In the figure given below PS is the diameter. Points P, Q, R, and T, S, R, are collinear. Then, \[{{120}^{o}}\] is equal to
A)
\[{{360}^{o}}\] done
clear
B)
\[{{90}^{o}}\] done
clear
C)
\[{{90}^{o}}\] done
clear
D)
\[{{270}^{o}}\] done
clear
View Solution play_arrow
question_answer 138)
Consider the following statements. (i) A quadrilateral in which one pair of opposite sides are parallel is called trapegium. (ii) A quadrilateral with both pair of opposite sides parallel is called a parallelogram. (iii) A parallelogram with a pair of adjacent sides equal is called a rhombus. (iv) A parallelogram with each angle as right angle is called a rectangle. Which of the following statements is/are correct?
A)
Only (i) done
clear
B)
(i) and (ii) done
clear
C)
Only (iv) done
clear
D)
All of the above done
clear
View Solution play_arrow
question_answer 139)
DIRECTIONS: Following questions consist of two statement, one labelled as the ?Assertion (A)? and the other as ?Reason (R)? You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): A polygon bounded by four line segments is called a quadrilateral. Reason (R): A polygon bounded by seven line segments is called a hexagon.
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of A. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
View Solution play_arrow
question_answer 140)
DIRECTIONS: Following questions consist of two statement, one labelled as the ?Assertion (A)? and the other as ?Reason (R)? You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): In a regular polygon, (i) all sides are equal (ii) all interior angles are equal (iii) all exterior angles are equal. Reason (R): A polygon is called regular polygon if all its sides as well as angles are equal.
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of A. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
View Solution play_arrow
question_answer 141)
DIRECTIONS: Following questions consist of two statement, one labelled as the ?Assertion (A)? and the other as ?Reason (R)? You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): If OL = 5 cm, OA = 13 cm, then AB = 20 cm.
In the given circle \[{{60}^{o}}\] Reason (R): An angle in a semi-circle is a right angle.
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of A. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
View Solution play_arrow
question_answer 142)
DIRECTIONS: Following questions consist of two statement, one labelled as the ?Assertion (A)? and the other as ?Reason (R)? You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): If OL = 5 cm, OA = 13 cm, then Ab = 20 cm.
Reason (R): If O is the centre of the circle and P is a point outside the circle and PT is tangent to the circle. If \[{{300}^{o}}\]then \[{{240}^{o}}\]
PQ is a chor of length 10 cm of a circle of radius 7 cm. The tangents at P and Q meet at T. Then, \[{{120}^{o}}\].
The perpendicular at the point of contact to the tangent of a circle will not pass through the centre. The tangents drawn at the ends of a diameter of a circle are parallel.
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of A. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true. done
clear
View Solution play_arrow
question_answer 143)
Arc of a circle is
A)
A line segment joining any two points on a circle done
clear
B)
A line that passes through the centre of a circle. done
clear
C)
A part of a circumference is called a arc done
clear
D)
Perimeter of the circles done
clear
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question_answer 144)
Which one of the given options explains the following diagram?
In the given figure, ABCD is 4 quadrilateral and\[{{120}^{o}}\]then \[{{240}^{o}}\].
A)
In a cyclic quadrilateral, sum of opposite angles is complementary. done
clear
B)
In a cyclic quadrilateral, opposite angles are equal. done
clear
C)
Sum of adjecent angles in a cyclic quadrilateral is supplementary. done
clear
D)
Sum of opposite angles is supplementary in a cyclic quadrilateral. done
clear
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