Question

To draw a pair of tangents to a circle, which are inclined to each other at an angle of 45^o, we have to draw tangents at the end points of those two radii, the angle between which is

(a) ${105}^o$ (a) ${135}^o$ (a) ${140}^o$ (a) ${145}^o$

Answer 1

OA and OB are two redii on tangent
SO
<OAP=90° and
<OBP=90°

<APB=45° (GIVEN)

So
in quadratic APBO
<OAP+<APB+<OBP+<AOB=360°
90°+45°+90°+<AOB=360°
<AOB=360°-225°=135°

correct option (b) 135°