SSC CGL 2025 PYQ — Question 53

SSC CGL - 19 Sep 2025 - Shift 3 • Quantitative Aptitude • Q53

The angle between two tangents drawn from an external point to a circle is 60°. What is the angle subtended by the chord connecting their points of contact at the center?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 120°.

The angle between the two tangents is supplementary to the angle subtended by the chord joining the points of contact at the center.

Angle between tangents = 60°

Angle at center = 180° – 60° = 120°