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Question

If the points A(1, 2), B(4, 3), C(1, 0) and D(p, -1) are the vertices of a parallelogram then, find the value of p.

A
3
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B
-2
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C
4
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D
0
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Solution

The correct option is B -2
In a parallelogram, the diagonals bisect each other.

So the midpoints of both the diagonals will coincide.

Midpoint of AC = Midpoint of BD

(1+12,2+02)=(4+p2,312)

(1,1)=(4+p2,1)

1=4+p2

p=2

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