Opposite vertices and of a quadrilateral are given

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

Problem

Opposite vertices A(2, 3)A(2,\,3) and C(8, 5)C(8,\,5) of a quadrilateral ABCDABCD are given. The diagonals intersect at O(5, 4)O(5,\,4). If vertex BB is at (6, 9)(6,\,9), which of the following are the coordinates of vertex DD so that ABCDABCD is a parallelogram? (a) (5,4)(5,4) (b) (7,14)(7,14) (c) (4,−1)(4,-1) (d) (12,11)(12,11)

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