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Cyclic Quadrilateral

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Question 139
The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1 : 2. Can it be a parallelogram? Why or why not?

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Solution

No, it can never be a parallelogram, as the diagonals of a parallelogram divide each other in the ratio 1 : 1.

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Cyclic Quadrilateral

Standard IX Mathematics

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