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

In the adjoining figure, PA and PB are tangents from P to a circle with center C.If the radius of the circle is 4 cm and PA perpendicular PB.Find the length of the tangent.

Text Solution

Verified by Experts

`AC^2+AP^2=CP^2`
`BC^2+BP^2=CP^2`
From both the equations
`AC^2+AP^2=BC^2+BP^2`
`AP^2=BP^2->AP=BP`
AC=AP=BP=40 cm.
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