Question

From an external point P, two tangents are drawn that touch the circle at points Q and R. The centre of the circle is O. Points O and P are joined. The ratio of angles OPR and OPQ is:

1:1

3:1

4:1

2:1

Solution

The correct option is **A**

1:1

Join the points OP, OQ and OR

Now, in triangles OPQ and OPR,

OP = OP (common side)

OQ = OR (radii)

∠OQP=∠ORP=90∘ [Tangent is perpendicular to the radius]

Hence, △OQP≅△ORP [RHS congruency]

Hence, ∠OPQ=∠OPR [CPCT]

Suggest corrections

0 Upvotes

Similar questions

View More...

People also searched for

View More...

- About Us
- Contact Us
- Investors
- Careers
- BYJU'S in Media
- Students Stories - The Learning Tree
- Faces of BYJU'S – Life at BYJU'S
- Social Initiative - Education for All
- BYJU'S APP
- FAQ
- Support

© 2021, BYJU'S. All rights reserved.