CBSE Class 10 Maths (Standard) 2019 · Paper 30/2/1 · Question 15

Circles 3 marks Medium

In Figure 3,

P Q

and

R S

are two parallel tangents to a circle with centre

O

and another tangent

A B

with point of contact

C

intersecting

P Q

A

and

R S

B

. Prove that

∠ A O B = 9 0^{\circ}

Figure 3

Answer

∠ A O B = 9 0^{\circ}

(proved using equal tangents and the supplementary co-interior angles of the parallel tangents).

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