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In the diagram O is the centre of the circle with radius OC ABCD is...

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Geometry

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In the diagram O is the centre of the circle with radius OC ABCD is a cyclic quadrilateral N is another point on the circle such that BC is parallel to ON OE bisects chord BC at Eu GC is a tangent to the circle at C GC and ON are produced to meet at F C 20 D B 150 10 1 Calculate with reasons the size of 10 1 10 10 1 2 D 10 1 3 C 10 1 4 D 10 2 OECF is a trapezium with OF 3y and EC 2x Using the formula below determine the length of OE in terms of x and y if the area of OECF y x Area of a Trapezium sum of the parallel sides x1 height 2 2 2

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