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question_answer1)
Directions: Q. 1 to 5 |
Malika and Karishma are friends living on the same street in Govindpuri. |
Karishma's house is at the intersection of one street with another street on which there is a temple. They both study in the same school and that is not far from Karishma's house. |
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Suppose the school is situated at the point O, i.e., the origin, Malika's house is at P Karishma's house is at Q and temple is at R. |
Based on the above information, answer the following questions. |
How far is Malika's house from Karishma's house?
A)
3 units done
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B)
4 units done
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C)
5 units done
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D)
2 units done
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question_answer2)
How far is the temple from Karishma's house?
A)
3 units done
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B)
2 units done
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C)
5 units done
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D)
4 unite done
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question_answer3)
How far is the temple from Malika's house?
A)
\[2\sqrt{2}\]units done
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B)
\[3\sqrt{2}\]units done
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C)
\[4\sqrt{2}\]units done
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D)
None of these done
clear
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question_answer4)
Which of the following is true?
A)
PQR forms a scalene triangle done
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B)
PQR forms an isosceles triangle done
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C)
PQR forms an equilateral triangle done
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D)
None of the above done
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question_answer5)
How far is the school from Malika's house?
A)
\[2\sqrt{3}\]units done
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B)
\[\sqrt{5}\]units done
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C)
\[\left( \sqrt{13}+\sqrt{5} \right)\]units done
clear
D)
\[\left( \sqrt{13}-\sqrt{5} \right)\]units done
clear
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question_answer6)
Directions: Q. 6 to 10 |
Anmol is driving his car on a straight road towards East from his office to Noida and then to Delhi. At some point in between Noida and Delhi, he suddenly realises that there is not enough Petrol for the journey. Also, there is no Petrol pump on the road between these two cities. |
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Based on the above information, answer the following questions. |
The value of y is equal to
A)
2 done
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B)
3 done
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C)
4 done
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D)
5 done
clear
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question_answer7)
The value of x is equal to
A)
4 done
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B)
5 done
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C)
8 done
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D)
9 done
clear
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question_answer8)
If At is any point exactly in between Noida and Delhi, then coordinates of M are
A)
(3,3) done
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B)
(6,5,9) done
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C)
(5,5) done
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D)
(6,6) done
clear
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question_answer9)
The ratio in which Noida divides the line segment joining the office and Delhi is
A)
1:4 done
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B)
2:1 done
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C)
3:2 done
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D)
2:3 done
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question_answer10)
If Anmol analyse the CNG at the point M (the mid point of Noida-Delhi), then what should be his decision?
A)
Should he travel back to office done
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B)
Should try his luck to move towards Delhi done
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C)
Should be travel back to Noida done
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D)
None of the above done
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question_answer11)
Directions: Q. 11 to 15 |
In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs \[\frac{1}{5}\]th distance AD on the eighth line and posts a red flag. |
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Find the position of green flag
A)
(2,25) done
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B)
(2,0.25) done
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C)
(25,2) done
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D)
(0,-25) done
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question_answer12)
Find the position of red flag
A)
(8,0) done
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B)
(20,8) done
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C)
(8,20) done
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D)
(8,0.2) done
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question_answer13)
What is the distance between both the flags?
A)
\[\sqrt{41}m\] done
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B)
\[\sqrt{11}m\] done
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C)
\[\sqrt{61}m\] done
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D)
\[\sqrt{51}m\] done
clear
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question_answer14)
If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
A)
(5,22.5) done
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B)
(10,22) done
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C)
(2,8.5) done
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D)
(2.5,20) done
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question_answer15)
If Joy has to post a flag at l/4th distance from green flag, in the line segment joining the green and red flags, then where should he post his flag?
A)
(3.5,24) done
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B)
(0.5,12.5) done
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C)
(2.25,8.5) done
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D)
(25,20) done
clear
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question_answer16)
Directions: Q. 16 to 20 |
In a cinema hall, peoples are seated at a distance of 1 m from each other, to maintain the social distance due to CORONA virus pandemic. Let three peoples sit at points P, Q and R whose coordinates are (6, - 2), (9, 4) and (10, 6) respectively. |
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Based on the above information, answer the following questions. |
The distance between P and R is
A)
\[\sqrt{5}\]units done
clear
B)
\[4\sqrt{5}\]units done
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C)
\[3\sqrt{5}\]units done
clear
D)
None of these done
clear
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question_answer17)
If a TC at the point I, lying on the straight line joining Q and R such that it divides the distance between them in the ratio of 1 : 2. Then coordinates of I are
A)
\[\left( \frac{22}{3},\,\frac{11}{3} \right)\] done
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B)
\[\left( \frac{28}{3},\,\frac{14}{3} \right)\] done
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C)
\[\left( 6,\,1 \right)\] done
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D)
\[\left( 9,\,1 \right)\] done
clear
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question_answer18)
The mid-point of the line segment joining P and R is
A)
(1,6) done
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B)
(6,1) done
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C)
\[\left( \frac{11}{2},\,0 \right)\] done
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D)
None of these done
clear
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question_answer19)
The ratio in which Q divides the line segment joining P and R is
A)
2:1 done
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B)
3:1 done
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C)
1:2 done
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D)
None of these done
clear
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question_answer20)
The points P, Q and R lies on
A)
a straight line done
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B)
an equilateral triangle done
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C)
a scalene triangle done
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D)
an isosceles triangle done
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question_answer21)
Directions: Q. 21 to 25 |
To raise social awareness about hazards of cancer, an organisation decided to start a campaign. 5 students were asked to prepare campaign banners in the shape of a triangle. The vertices of the triangle are, A (0,6), 5(6, 6) and C(1, 1). |
Based on the above information, answer the following questions. |
The coordinates of centroid of \[\Delta ABC\] are
A)
\[\left( \frac{2}{3},\,\frac{7}{3} \right)\] done
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B)
\[\left( \frac{7}{3},\,\frac{13}{3} \right)\] done
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C)
\[\left( \frac{-2}{3},\,\frac{7}{3} \right)\] done
clear
D)
\[\left( \frac{7}{3},\,\frac{2}{3} \right)\] done
clear
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question_answer22)
If S be the mid-point of line joining A and B, then coordinates of S are
A)
(4, 0) done
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B)
(2, 0) done
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C)
(3, 6) done
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D)
(0,4) done
clear
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question_answer23)
If T be the mid-point of the line joining C and B, then coordinates of T are
A)
\[\left( \frac{1}{2},\,\frac{1}{2} \right)\] done
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B)
\[\left( \frac{3}{2},\,\frac{1}{2} \right)\] done
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C)
\[\left( \frac{1}{2},\,\frac{3}{2} \right)\] done
clear
D)
None of these done
clear
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question_answer24)
If U be the mid-point of line joining C and A then coordinates of U are
A)
\[\left( -\frac{5}{2},\,\frac{3}{2} \right)\] done
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B)
\[\left( \frac{1}{2},\,\frac{7}{2} \right)\] done
clear
C)
\[\left( \frac{3}{2},\,\frac{5}{2} \right)\] done
clear
D)
\[\left( \frac{5}{2},\,\frac{3}{2} \right)\] done
clear
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question_answer25)
The coordinates of centroid of \[\Delta STU\] are
A)
\[\left( \frac{2}{3},\,\frac{7}{3} \right)\] done
clear
B)
\[\left( \frac{1}{3},\,\frac{1}{3} \right)\] done
clear
C)
\[\left( -\frac{2}{3},\,\frac{7}{3} \right)\] done
clear
D)
\[\left( \frac{7}{3},\,\frac{13}{3} \right)\] done
clear
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