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

In the given figure, `PA` and `PB` are the tangent segments to a circle with centre `O`. Show that the points `A`, `O`, `B` and `P` are concyclic.

Text Solution

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`OAbotAP` and `OBbotBP`
`implies/_OAP=90^(@)` and `/_OBP=90^(@)`
`implies/_OAP+/_OBP=180^(@)`
`implies` quad. `AOBP` is cyclic [`:'` a quad. Is cyclic if the sum of a pair of opposite angles is `180^(@)`].
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