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In the given figure, PT is a tangent to ...

In the given figure, PT is a tangent to the circle centered at O. OC is perpendicular to chord AB. Prove that `PA.PB=PC^2-AC^2`

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In the given figure, from an external point P, a tangent PT and a line segment PAB is drawn to a circle with centre O. ON is perpendicular on the chord AB. Prove that (i)PA.PB=PN^2-AN^2 (ii) PN^2-AN^2 =OP^2-OT^2

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