Consider a circle with AB as diameter, and P another point on the circle. Let M...

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Consider a circle with AB as diameter, and P another point onthe circle. Let M be the foot of the perpendicular from P to AB.Draw the circles which have AM and MB respectively as diameters,which meet AP at Q and BP at R. Prove that QR is a tangent to bothcircles.

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The figure is given below Here O and N are the centers of thesmaller circles respectivelyWell be calling and just for the sake of convenience1In the circle    See Answer
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