SSC CGL 2021 PYQ — Question 73

SSC CGL - 20 Aug 2021 - Shift 1 • Quantitative Aptitude • Q73

In a circle, chords AB and CD intersect internally, at E. If CD = 16 cm, DE = 6 cm, AE = 12cm, and BE = x cm then the value of x is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 5.

CE = 16 - 6 = 10.

AE × EB = CE × ED

12 × x = 10 × 6

x = 5.