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In the given figure, PA and PB are tange...

In the given figure, `PA` and `PB` are tangents to the given circle such that `PA=5cm` and `/_APB=60^(@)`. The length of chord `AB` is

A

`5sqrt(2)cm`

B

`5cm`

C

`5sqrt(3)cm`

D

`7.5cm`

Text Solution

Verified by Experts

`PA=PBimplies/_PBA=/_PAB=x^(@)` (say)
Then, `x^(@)+x^(@)+60^(@)=180^(@)impliesx=60^(@)`.
`:.DeltaAPB` is equilateral and so, `AB=PA=5cm`
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