Two circles touch each other externally at points P and AB is a direct common tangent that touches the circles at A and B, respectively. ∠APB is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 90°.
If two circles touch each other externally at some point and a direct common tangent is drawn to both circles, the angle subtended by the direct common tangent at the point where the two circles touch each other is 90°.
AB = Common tangent
∠APB = 90°
Hence, the value of ∠APB is 90°.