Question

What is the angle between the radius of a circle at the tangent point and the tangent line drawn from an external point at the tangent point?

• A. 70°
• B. 80°
• C. 60°
• D. 90°

Hint:

The radius at the point of tangency is always perpendicular to the tangent line.

Answer 1

The Correct Option is D

Step 1: Understanding the Tangent and Radius.
At the point of tangency, the radius of the circle is always perpendicular to the tangent line. This means the angle between the radius and the tangent at the point of contact is 90°.
Step 2: Verifying the Options.

- Option (1): 70° is incorrect.
- Option (2): 80° is incorrect.
- Option (3): 60° is incorrect.
- Option (4): 90° is correct, as the radius is perpendicular to the tangent line. Conclusion:
Therefore, the correct answer is (4) 90°.