From a point P, two tangents PA and PB are drawn to a circle

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From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to diameter of the circle, then ∠APB is

1. 45°
2. 90°
3. 30°
4. 60°

Correct Option: D

As per the given in question , we draw a figure of a circle in which two tangents PA and PB are drawn to with centre O ,

Let OA = OB = r and OP = 2r
⇒ AP = PB

sin ∠APO =	OA	=	r	=	1
	OP		2r		2

∠ APO = 30°
∴ ∠ APB = 60°