Q27 of 66 Page 7

If (3, 3), (6, y), (x, 7) and (5, 6) are the vertices of a parallelogram taken in order, find the values of x and y.(CBSE 2011)


Let A(3,3), B(6,y), C(x,7), D(5,6) be the vertices of a parallelogram taken in order,


Diagonals of a parallelogram bisect each other


∴ MidPoint of AC = Mid Point of BD


Mid-point of AC:


x-coordinate =


y-coordinate =


Midpoint of BD:


x-coordinate =


y-coordinate =


x-coordinate of the midpoint of AC = x-coordinate of the midpoint of BD



3 + x=11


x1-3=8 .


y-coordinate of midpoint of AC = y-coordinate of midpoint of BD



10=6 + y


y=4.

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