# 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.

Here is the link for the answer to your query.

https://www.meritnation.com/ask-answer/question/if-pab-is-a-secant-to-a-circle-intersecting-the-circle-at-a/circles/703165

Now using the above result

AE × AB = AD2

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