The fourth vertex of a parallelogram ABCD, where A = (3, -2), B = (7, 6) and C = (3, 8) is : 1. D = (1, 0) 2. D = (-1, 0) 3. D = (0, 1) 4. D = (0, -1)

Let co-ordinates of D be (x, y). We know that, Diagonals of parallelogram bisect each other. ∴ Mid-point of AC = Mid-point of BD. D = (x, y) = (-1, 0). Hence, Option 2 is the correct option.