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In the given figure, `O` is the centre of the circle. `AB` is the tangent to the circle at the point `P`. If `/_APQ=58^(@)` then the measure of `/_PQB` is

A

`32^(@)`

B

`58^(@)`

C

`122^(@)`

D

`132^(@)`

Text Solution

Verified by Experts

`/_QPR=90^(@)` [angle in a semicircle]
and `/_QRP=/_APQ=58^(@)` [angles in alternate segments].
In `DeltaPQR`, we have `/_PQR+/_QRP+/_QPR=180^(@)implies/_PQR=32^(@)`
`:./_PQB=/_PQR=32^(@)`
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RS AGGARWAL-CIRCLES-Multiple-choice questions (MCQ)
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