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 the diagonals of parallelogram bisect each other. So,
Coordinates of the mid-point of AC
= Coordinates of the mid-point of BD
Hence, required values are x = 6 and y = 3.