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[" difference of the angles subtended by the chords "AC" and "DE" as diameter,passes through "],[" 5.Prove that the circle drawn with any side of a rhombus as diameter,passes through "],[" the point of intersection of its diagonals."],[" 6."ABCD" is a parallelogram.The circle through "A,B" and "C" intersect "CD" (produced if "]

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Prove that the circle drawn with any side of a rhombus as a diameter, passes through the point of intersection of its diagonals.

Prove that the circle drawn with any side of a rhombus as a diameter, passes through the point of intersection of its diagonals.

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ABCD is a parallelogram.The circle through A,B and C intersects CD produced at E, prove that AE=AD

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ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD.

ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD.

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Prove that the two circles drawn on the two equal sides of an isosceles triangle as diameters pass through the mid point of the third side.