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The tangents are drawn at the extremities of diameter AB of a circle with centre P. If a tangent to the circle at the point C intersects the other two tangents at Q and R, then the measure of the ∠QPR is
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- 45°
- 60°
- 90°
- 180°
- 45°
Correct Option: C
According to question , we draw a figure of a circle with centre P whose the tangents are drawn at the extremities of diameter AB , 
In ∆ PCR and ∆ RBP,
PC = PB (radii)
RC = RB
PR is common.
∴ ∆PCR ≌ ∆RBP [By SSS]
∴ ∠CPR = ∠RPB
Similarly, ∠CPQ = ∠QPA
∴ ∠QPR = 90°
[∴ ∠APB = 180°]
