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 - Geometry Mathematics 2

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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 the following steps:
a. Draw ray CE. It intersects the circle at D.
b. Show that CE = ED.
c. Write the result using the theorem of the intersection of chords inside a circle. d. Using CE = ED, complete the proof. 

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2018-2019 (July) Set 1

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