Three vertices of a parallelogram are (0, 0), (3, 5) and (6, 2). The fourth vertex equals:

1. If the parallelogram is ABCD with A = (0,0), B = (3,5), D = (6,2), the fourth vertex C lies opposite A. 2. By the textbook rule, in a parallelogram OBCD with O at origin, C = B + D = (3+6, 5+2) = (9, 7). 3. The diagonals of a parallelogram bisect each other, and this rule encodes that condition. 4. So C = (9, 7). 5. None of the other choices satisfy the diagonal-bisection property. _Source: SCERT Kerala Std X Mathematics Part-2, Chapter 8-9 (pp 200-219, 2019 ed.)._