If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

Let A(1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram.. We know that, Diagonals of parallelogram bisect each other. So, mid-point will be same let O. i.e., Mid-point of AC = Mid-point of BD. By formula, Mid-point = Substituting values we get : Hence, x = 6 and y = 3.