PAB is a secant to a circle intersecting the circle at A  and  B . PT is a tangent, prove that PA x PB = PT².
Using the above prove the following:
ABC is an isosceles triangle, such that AB=AC and  the point  D is the midpoint of AC . A circle is drawn taking BD as diameter, which intersects AB at E .Prove that AE = 1/4AC.

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Now using the above result

AE × AB = AD2

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