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Solution - In the figure given below, PQ is a chord of a circle with centre O and PT is a tangent. If ∠QPT = 60°, find ∠PRQ. - CBSE Class 10 - Mathematics

ConceptTangent to a Circle

Question

In the figure given below, PQ is a chord of a circle with centre O and PT is a tangent. If ∠QPT = 60°, find ∠PRQ.

Solution

m∠OPT 90º (radius is perpendicular to the tangent)
So, ∠OPQ = ∠OPT - ∠QPT
= 90º - 60º
= 30º
m∠POQ = 2m∠QPT = 2 x 60º = 120º
reflex m∠POQ = 360º - 120º= 240º

`/_PQR=1/2 "reflex"/_POQ`

`=1/2 xx 240^@`

`=120^@`

`m/_PRQ=120^@`

Is there an error in this question or solution?

Reference Material

Solution for question: In the figure given below, PQ is a chord of a circle with centre O and PT is a tangent. If ∠QPT = 60°, find ∠PRQ. concept: null - Tangent to a Circle. For the course CBSE
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