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In the above figure, seg AB is a diamete...


In the above figure, seg AB is a diameter of a circle with centre P.C is any point on the circle. Seg CE `_|_` seg AB. Prove that CE is the geometric mean of AE and EB. Write the proof with the help of
following steps:
(a) Draw ray CE. It intersects the circle at D.
(b) Show that CE = ED.
Write the result using theorem of intersection of chords insides
a circle.
(d) Using CE = ED, complete the proof.

Text Solution

Verified by Experts

The correct Answer is:
`therefore AEtimesEBtimes=CEtimes ED`
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