SSC CHSL 2023 PYQ — Question 2

SSC CHSL Tier II - 26 Jun 2023 - Shift 1 • Quantitative Aptitude • Q2

AD is a tangent of a circle, and ABC is the secant. If AB = 8 cm and BC = 10 cm, then find the length of AD.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 12 cm 

AB = 8 cm and BC = 10 cm

Using tangent secant segment theorem -

AD2 = AB (AB + BC)

AD2 = 8(8 + 10)

AD2 = 144

AD = 12 cm