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If A(2, 3), B(1, 4), C(0 - 2) and D (x, y) are the vertices of a parallelogram, then what is the value of (x, y) ?A. (1, -3)B. (2, 4)C. (1, 1)D. (0, 0)

Answer» Correct Answer - A
As given : A(2, 3), B(1, 4), C(0, -2) and D (x, y) are the vertices of a parallelogram. Diagonals of a parallelogram bisect each other
So, mid-point are same for both diagonals AC and BD.
`(2+0)/2=(1+x)/2` and `(3-2)/2=(4+y)/2`
`implies x=1 and y=-3`
`implies D(x, y)=(1, -3)`


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