Question

If a chord AB subtends an angle of 60° at the center of a circle, then he angle between the tangents to the circle drawn form A and B is

(a) 30° 

(b) 60° 

(c) 90°

(d) 120°

Answer 1

Correct answer is (d) 120°

We know that the radius and tangent are perpendicular at their point of contact

∵ ∠OBC = ∠OAC = 90°

Now, In quadrilateral ABOC