SSC CGL 2022 PYQ — Question 68

SSC CGL - 03 Dec 2022 - Shift 3 • Quantitative Aptitude • Q68

Let O be the centre of a circle and P be the point outside the circle. If PAB is a secant to the circle intersecting the circle at A and B and PT is the tangent segment drawn from P, find the length of PT, if PA = 3 cm and AB = 9 cm.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 6 cm.

Calculations:

we know that, PT2 = PA × PB

⇒ PT2 = 3 × 12

⇒ PT2 = 36

⇒ PT = 6 cm