Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

If AB and CD are two chords intersecting at a point P inside the circle such that AP = CP, then consider the following statements :
Assertion (A) : AB = CD,
Reason (R) : APC and DPB are similar triangles
Of these statements

A) both A and R are true, and R is correct explanation of A.
B) both A and R are true, but R is not a correct explanation of A.
C) A is true, but R is false.
D) A is false, but R is true

Correct Answer:

A) both A and R are true, and R is correct explanation of A.

Part of solved Triangle questions and answers : >> Elementary Mathematics >> Triangle

Comments

Similar Questions

1). If a triangle and a rectangle have equal areas and equal altitude, then base of the triangle is equal to

A). base of the rectangle.

B). twice the base of the rectangle.

C). thrice the base of the rectangle.

D). four times the base of the rectangle

2). Area of an isosceles right-angled triangle is 800 sq. metres. The greatest possible square has been cut out from it. The length of the diagonal of this square will be

A). \( \Large 10\ \sqrt{2} m\)

B). \( \Large 10\ \sqrt{3} m\)

C). 20 m

D). \( \Large 20\ \sqrt{2} m\)

3). If perimeter of a triangle is 100 m and its sides are in the ratio 1 : 2 : 2, then area of the triangle (in \( \Large m^{2} \)) is

A). \( \Large 100 \sqrt{3} \)

B). \( \Large 100 \sqrt{15} \)

C). \( \Large 100 \sqrt{5} \)

D). \( \Large 100 \sqrt{7} \)

4). In the given figure, AD is the internal bisector and AE is the external bisector of \( \Large \angle \)BAC of any \( \Large \triangle \) ABC. Then which one of the following statements is not correct?

A). \( \Large AC^{2} = DC \times CE \)

B). \( \Large AC \times CD = AC \times BD \)

C). \( \Large AB : AC = BE : CE \)

D). \( \Large \angle ADE - 90 ^{\circ} \)

5). In the given figure, \( \Large \angle \)ABC = \( \Large \angle \)ADB = \( 90^{\circ} \), which one of the following statements does not hold good?

A). \( \Large \triangle \) ABC, ADB and CDB are similar.

B). \( \Large AD \times DC \)

C). \( \Large \triangle ADB : \triangle CDB = AB : BC \)

D). \( \Large AB^{2} = AD \times AC \)

6). Area of an equilateral triangle of side x is

A). \( \Large \frac{x^{2}}{\sqrt{2}} \)

B). \( \Large \frac{\sqrt{3}}{4} x^{2} \)

C). \( \Large \frac{\sqrt{3}}{2} x^{2} \)

D). \( \Large \frac{\sqrt{3}}{2} x^{3} \)

7). In the given figure, \( \Large \triangle ABC \) is an equilateral triangle. O is the point of intersection of the medians. If AB = 6 cm, then OB is equal to

A). \( \Large 3\sqrt{3}cm \)

B). \( \Large 2\sqrt{3}cm \)

C). \( \Large \sqrt{3}cm \)

D). \( \Large \frac{\sqrt{3}}{2}cm \)

8). If an isosceles right triangle has an area 200 sq. cm, then area of a square drawn on hypotenuse is

A). 400 sq. cm

B). \( \Large 400 \sqrt{2} cm \)

C). 800 sq. cm.

D). \( \Large 800 \sqrt{2} cm \)

9).

\( \Large \triangle ABC\ and\ PQR \) are congruent if

A). \( \Large \angle ABC = \angle QPR \) and \( \Large \angle BCA = \angle QRP \)

B). \( \Large AB = PQ,\ AC=PR \) and \( \Large \angle ABC = \angle PQR \)

C). \( \Large AB= PQ,\ \angle ABC = \angle PQR \) and \( \Large \angle BAC = \angle PRQ \)

D). \( \Large BC = QR,\ AC = PR \) and \( \Large \angle ACB = \angle PRQ\)

10). \( \Large \triangle \)PQR and \( \Large \triangle \)LMN are similar. If 3 PQ = LM and MN = 9 cm, then QR is equal to

A). 3 cm

B). 6 cm

C). 9 cm

D). 12 cm