point of intersection of diagonals of a quadrilateral divides one of the diagonals in the ratio 11 gm .Can it be a parallelogram ? Justify.
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We know that if the diagonals of a quadrilateral bisect each other then it is a parallelogram. In this case one of the diagonals is divided in the ratio 2:3, whereas this ratio should be 1:1 for the diagonal to ve bisected. Since the ratio of division of diagonal is not 1:1 so it is not a parallelogram.
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Step-by-step explanation:
We know that if the diagonals of a quadrilateral bisect each other then it is a parallelogram. In this case one of the diagonals is divided in the ratio 2:3, whereas this ratio should be 1:1 for the diagonal to ve bisected. Since the ratio of division of diagonal is not 1:1 so it is not a parallelogram.
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