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Question

The points A(1, 2), B(4, 3), C(1, 0) and D(p, -1) are the vertices of a parallelogram. Then p = .

A
0.0
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B
3
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C
-2
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Solution

The correct option is C -2
In a parallelogram, the diagonals bisect each other.
So the midpoints of both the diagonals coincide.
Midpoint of AC = Midpoint of BD
i.e.(1+12,2+02)=(4+p2,312)(22,22)=(4+p2,22)1=4+p2p=2

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