A) 3 cm done clear
B) 4.2 cm done clear
C) 2.8 cm done clear
D) 3.6 cm done clear
E) None of these done clear
View Solution play_arrowquestion_answer2) Find the value of x for which PQ || RS in shown figure.
A) 3 done clear
B) 4 done clear
C) 5 done clear
D) 6 done clear
E) None of these done clear
View Solution play_arrowA) 56\[\sqrt{3}\]cm done clear
B) 24\[\sqrt{3}\]cm done clear
C) 17\[\sqrt{3}\] done clear
D) 34\[\sqrt{3}\]cm done clear
E) None of these done clear
View Solution play_arrowA) 3SB \[\times \] SC done clear
B) SB \[\times \] SC done clear
C) 2SR \[\times \] RQ done clear
D) 2SB \[\times \] SC done clear
E) None of these done clear
View Solution play_arrowquestion_answer5) Which one among the following statements is not true?
A) In a triangle PQR, if S is a point on QR such that S divides QR in the ratio PQ : PR, then PS is the bisector of \[\angle \]P. done clear
B) In a triangle PQR, if PS is the bisector of the exterior of angle P and meets QR produced in S, then \[\frac{QS}{RS}=\frac{PQ}{PR}\] done clear
C) If a line through one vertex of a triangle divides the opposite sides in the ratio of other two sides, then the line bisects the angle at the vertex. done clear
D) In a \[\Delta \]PQR, in which S is a point on QR such that \[\frac{QS}{QR}=\frac{PQ}{PR}\], then PS is bisector of \[\angle \]P. done clear
E) None of these done clear
View Solution play_arrowA) 7.06 cm done clear
B) 6.28 cm done clear
C) 7.36 cm done clear
D) 6.88 cm done clear
E) None of these done clear
View Solution play_arrowA) MO.QN = QM.ON done clear
B) QP.NR = PM.QR done clear
C) \[\frac{Area\text{ }of\text{ }\Delta QTP\text{ }}{Area\text{ }of\text{ }\Delta QTP\text{ }}=\frac{QR}{QP}\] done clear
D) All the above done clear
E) None of these done clear
View Solution play_arrowA) PS \[\times \] SR done clear
B) PQ \[\times \] QR done clear
C) 2PS \[\times \] SR done clear
D) 2PQ \[\times \] QR done clear
E) None of these done clear
View Solution play_arrowquestion_answer9) In the shown figure, PQ || RS, find the value of x.
A) 3 done clear
B) 7 done clear
C) 5 done clear
D) 8 done clear
E) None of these done clear
View Solution play_arrowA) \[\frac{7}{10}\] done clear
B) \[\frac{10}{7}\] done clear
C) \[\frac{4}{7}\] done clear
D) \[\frac{7}{4}\] done clear
E) None of these done clear
View Solution play_arrowquestion_answer11) In the shown figure, if PS, UQ and RT are each perpendicular to PR, then _______
A) \[\frac{1}{a}+\frac{1}{b}=\frac{1}{c}\] done clear
B) \[\frac{1}{b}+\frac{1}{c}=\frac{1}{a}\] done clear
C) \[\frac{1}{a}+\frac{1}{c}=\frac{1}{b}\] done clear
D) \[\frac{1}{c}+\frac{1}{a}=\frac{2}{b}\] done clear
E) None of these done clear
View Solution play_arrowA) \[\frac{30}{13}cm\,\,and\,\,\frac{36}{13}cm\] done clear
B) \[\frac{20}{13}cm\,\,and\,\,\frac{26}{15}cm\] done clear
C) \[\frac{15}{13}cm\,\,and\,\,\frac{17}{13}cm\] done clear
D) \[\frac{19}{13}cm\,\,and\,\,\frac{17}{13}cm\] done clear
E) None of these done clear
View Solution play_arrowquestion_answer13) Which one among the following statements is correct?
A) The area of the equilateral triangle described on the side of a square is equal to the area of the equilateral triangle described on its diagonal. done clear
B) If equilateral triangles are drawn on the sides of a right triangle then the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides. done clear
C) The line segments joining the mid-points of the sides of a triangle form four triangles, each of which is similar to the original triangle. done clear
D) both B and C done clear
E) None of these done clear
View Solution play_arrowA) \[\frac{2-\sqrt{2}}{3}\] done clear
B) \[\frac{\sqrt{2}\left( \sqrt{2}-2 \right)}{2}\] done clear
C) \[\sqrt{2}+1\] done clear
D) \[2-\sqrt{2}\] done clear
E) None of these done clear
View Solution play_arrowA) \[100{}^\circ \] done clear
B) \[110{}^\circ \] done clear
C) \[120{}^\circ \] done clear
D) \[120{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowA) \[50{}^\circ \] done clear
B) \[70{}^\circ \] done clear
C) \[60{}^\circ \] done clear
D) \[80{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowA) \[cp=ab\] done clear
B) \[\frac{1}{{{p}^{2}}}=\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}\] done clear
C) \[\frac{1}{{{p}^{2}}}=\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}-\frac{1}{{{c}^{2}}}\] done clear
D) both A and B done clear
E) None of these done clear
View Solution play_arrowA) \[9(Q{{T}^{2}}+R{{S}^{2}})=13\,Q{{R}^{2}}\] done clear
B) \[9\,QT=9P{{Q}^{2}}+4\,P{{R}^{2}}\] done clear
C) \[9\,R{{S}^{2}}=4\,P{{Q}^{2}}+9\,P{{R}^{2}}\] done clear
D) All the above done clear
E) None of these done clear
View Solution play_arrowquestion_answer19) Which among the following statements is incorrect?
A) Equal chords subtend equal angles at the centre of the circle. done clear
B) The opposite angles of a cyclic quadrilateral are supplementary. done clear
C) A line drawn through the end point of a radius of a circle and perpendicular to it is a tangent to the circle. done clear
D) The number of common tangents to two circles touching externally is four. done clear
E) None of these done clear
View Solution play_arrowA) 6 cm done clear
B) 8 cm done clear
C) 10 cm done clear
D) 12 cm done clear
E) None of these done clear
View Solution play_arrowA) \[50{}^\circ \] done clear
B) \[60{}^\circ \] done clear
C) \[70{}^\circ \] done clear
D) \[80{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowA) \[PO-RO:OQ-OS\] done clear
B) \[PO+PS:SR+QR\] done clear
C) \[P{{O}^{2}}:O{{Q}^{2}}\] done clear
D) \[PQ:RS\] done clear
E) None of these done clear
View Solution play_arrowA) 18\[\sqrt{3}\] done clear
B) 21 done clear
C) 21\[\sqrt{3}\] done clear
D) 18 done clear
E) None of these done clear
View Solution play_arrowA) \[140{}^\circ \] done clear
B) \[120{}^\circ \] done clear
C) \[110{}^\circ \] done clear
D) \[130{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowA) \[15{}^\circ \] done clear
B) \[45{}^\circ \] done clear
C) \[30{}^\circ \] done clear
D) \[60{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowquestion_answer26) The sum of the three altitudes of a triangle is ______
A) more than the sum of three sides of the triangle. done clear
B) equal to the half of the three sides of the triangle. done clear
C) less than the sum of three sides of the triangle. done clear
D) equal to the double of the three sides of the triangle. done clear
E) None of these done clear
View Solution play_arrowquestion_answer27) In an isosceles triangle PQR, PQ < 6 cm and PR = 12 cm, then
A) QR = PR done clear
B) QR < PR done clear
C) QR = PQ done clear
D) QR > PR done clear
E) None of these done clear
View Solution play_arrowA) 8.8 cm done clear
B) 8.6 cm done clear
C) 7.5 cm done clear
D) 8.2 cm done clear
E) None of these done clear
View Solution play_arrowA) 12 cm done clear
B) 12\[\sqrt{3}\]cm done clear
C) 14\[\sqrt{3}\]cm done clear
D) 15 cm done clear
E) None of these done clear
View Solution play_arrowA) \[2\sqrt{10}\]cm done clear
B) \[4\sqrt{10}\]cm done clear
C) \[3\sqrt{5}\]cm done clear
D) \[4\sqrt{5}\]cm done clear
E) None of these done clear
View Solution play_arrowA) 50 cm done clear
B) 48 cm done clear
C) 51 cm done clear
D) 38 cm done clear
E) None of these done clear
View Solution play_arrowA) 5.5 cm done clear
B) \[(3-\sqrt{3)}\]cm done clear
C) \[(3+\sqrt{3)}\]cm done clear
D) \[\left( 6-2\sqrt{3} \right)\]cm done clear
E) None of these done clear
View Solution play_arrowA) \[30{}^\circ \] done clear
B) \[15{}^\circ \] done clear
C) \[45{}^\circ \] done clear
D) \[60{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowA) \[2\sqrt{5}cm\] done clear
B) \[3\sqrt{17}cm\] done clear
C) \[3\sqrt{15}cm\] done clear
D) \[4\sqrt{19}cm\] done clear
E) None of these done clear
View Solution play_arrowA) 8 cm done clear
B) 10 cm done clear
C) 12 cm done clear
D) 14 cm done clear
E) None of these done clear
View Solution play_arrowA) \[{{60}^{o}}\] done clear
B) \[80{}^\circ \] done clear
C) \[100{}^\circ \] done clear
D) \[85{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowA) \[35{}^\circ \] done clear
B) \[70{}^\circ \] done clear
C) \[{{60}^{o}}\] done clear
D) \[54{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowA) 5 done clear
B) 6 done clear
C) 7 done clear
D) 8 done clear
E) None of these done clear
View Solution play_arrowA) \[25{}^\circ \] done clear
B) \[30{}^\circ \] done clear
C) \[35{}^\circ \] done clear
D) \[40{}^\circ \] done clear
E) None of these done clear
View Solution play_arrowA) \[{{72}^{o}}\] done clear
B) \[62{}^\circ \] done clear
C) \[38{}^\circ \] done clear
D) \[68{}^\circ \] done clear
E) None of these done clear
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