Question

In Fig. 1, PQ and PR are tangents to the circle with centre O such that ∠QPR = 50°,

(a) 25°

(b) 30°

(c) 40°

(d) 50°

Answer 1

We are given the below figure in which

PQ and PR are tangents to the circle with centre O and

We have to find

PQ is the tangent to circle

Therefore [Since Radius of a circle is perpendicular to tangent]

Similarly

We know that sum of angles of a quadrilateral

Therefore in Quadrilateral PQOR

Hence option (a) is correct.