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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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ABCDA B C D is a rhombus. Its diagonals ACA C and BDB D intersect at the point MM and satisfy BD=2ACB D=2 A C. If the coordinates of DD and MM are (1,1)(1,1) and (2,−1)(2,-1) respectively, the coordinates of AA are
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Correct option: B
(1,−3/2)(1,-3 / 2)
Option B ((1,-3 / 2)) is correct because it satisfies the geometric conditions of a rhombus, where diagonals are perpendicular and one is twice the length of the other.

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