SSC CPO 2022 PYQ — Question 106

SSC CPO - 10 Nov 2022 - Shift 2 • Quantitative Aptitude • Q106

A tangent is drawn from an external point ‘A’ to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance from the centre of the circle to point ‘A’ is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 13 cm

Given that 

The radius of a circle (r )= 12 cm

The tangent length = 5 cm 

By Pythagoras theorem

The distance from the center to point A = √(144 + 25) = √169 = 13 cm