**Circles ncert solutions Chapter 10 Exercise 10.2 Question 3**

**3. If tangents PA and PB from a point P to a circle with center O are inclined to each other at angle of , then is equal to**

(A) (B) (C) (D)

In and ,

PA = PB (Length of Tangents from external point to a circle are equal}

PO=PO {Common}

OA = OB {radii of circle are equal}

Therefore,

Therefore, {Corresponding angles of congruent triangles are equal}

{}

In

{Tangent is perpendicular to radius}

{Sum of interior angles of triangle is equal to 180 degrees}

Therefore, answer is **(A)**