SSC CHSL 2021 PYQ — Question 61

SSC CHSL - 19 April 2021 - Shift 3 • Quantitative Aptitude • Q61

From a point P that is at a distance of 15 cm from center O of a circle of radius 9 cm, in the same plane, a pair of tangents PQ and PR is drawn to circle. The area of quadrilateral PQOR is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 108 cm2.

Given that

OP =15 cm

OQ = OR = radius of circle = 9 cm

QR = √(225 - 81) = 12 cm

The area of quadrilateral PQOR = 2 * The area of triangle OPQ

= 2 * ½ * 9 * 12 = 108 cm2