Question

AP and BP are tangents to circle with centre O at A and B respectively. Find $\angle PAO$

• A. ${70}^{\circ }$
• B. ${60}^{\circ }$
• C. ${100}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is D ${90}^{\circ }$

PA is the tangent to the circle at A.

$\therefore \angle PAO={90}^o$

Radius is $\perp$ to tangent at point of contact.