In quadrilateral

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In quadrilateral ABCDABCD, diagonals ACAC and BDBD intersect at OO. If AO=4x−3AO = 4x - 3, OC=x+9OC = x + 9, BO=2y+1BO = 2y + 1 and DO=5y−11DO = 5y - 11 (all in centimetres), which pair of values of xx and yy makes ABCDABCD a parallelogram? (a) x=3,  y=4x = 3,\; y = 4 (b) x=4,  y=6x = 4,\; y = 6 (c) x=4,  y=4x = 4,\; y = 4 (d) x=4,  y=3x = 4,\; y = 3

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