Advertisements
Advertisements
Question
If a chord AB subtends an angle of 60° at the centre of a circle, then the angle between the tangents to the circle drawn from A and B is ______.
Options
30°
60°
90°
120°
MCQ
Fill in the Blanks
Advertisements
Solution
If a chord AB subtends an angle of 60° at the centre of a circle, then the angle between the tangents to the circle drawn from A and B is 120°.
Explanation:
Let P be the point of intersection of tangents at A and B.
Then, OAPB is a cyclic quadrilateral.
∴ ∠AOB + ∠AРB = 180°
⇒ ∠APB = 180° – 60°
⇒ ∠APB = 120°
shaalaa.com
Is there an error in this question or solution?
