Assignment Title: Proof and Applications of the theorem related to circle. In the figure, AB = CD and AB||CD a. Prove that O is the center of the circle. b. If OE = x cm of the circle with center O, then prove that OF = x cm. %3D c. If OE the value of x х ст, ОА 5cm and AB (2x + 2) cm of the circle with center O, then find d. If O is the centre of circle and OAE = 30°, then prove that AAOD is an equilateral triangle.

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A: Given equation 20 = b + a

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