Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
Advertisement Remove all ads

If PR is tangent to the circle at P and O is the centre of the circle, then ∠POQ is - Mathematics

MCQ

If PR is tangent to the circle at P and O is the centre of the circle, then ∠POQ is

Options

  • 120°

  • 100°

  • 110°

  • 90°

Advertisement Remove all ads

Solution

120°

Explanation;

Hint:

Since PR is tangent of the circle.

∠QPR = 90°

∠OPQ = 90° – 60° = 30°

∠OQB = 30°

In ∆OPQ

∠P + ∠Q + ∠O = 180°

30 + 30° + ∠O = 180°  ...(OP and OQ are equal radius)

∠O = 180° – 60° = 120°

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 4 Geometry
Exercise 4.5 | Q 15 | Page 200
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×