(Q22) If the points A(6,1) B(8,2) C(9,4) and D(p,3) are the vertices of a parallelogram taken inorder find the value of p .

Answer

We know the diagonals of parallelogram bisect each other.

So, coordinates of the midpoint of AC = Co-ordinates of the midpoint of BD.

(
+9
2
 ,
1+4
2
) = (
+p
2
 ,
5
2
)
(
2
 ,
5
2
) = (
+p
2
 ,
5
2
)
2
 =
+p
2

=+p

p=