SSC CGL 2022 PYQ — Question 72

SSC CGL - 06 Dec 2022 - Shift 2 • Quantitative Aptitude • Q72

A tangent is drawn from point M to a circle, which meets the circle at T such that MT= 12 cm. A secant MAB intersects the circle at points A and B. If MA = 8 cm, what is the length (in cm) of the chord AB?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 10.

We know that

MT2 = MA × MB

⇒ 122 = 8 × MB

⇒ MB = 18

AB = MB - MA = 18 - 8 = 10 cm