Answer:
The equation of a circle passing through the coordinates of the end points of diameters is (x – x1) (x – x2) + (y – y1)(y – y2) = 0
Substituting the values (x1, y1) = (3, 2) & (x2, y2) = (2, 5)
(x – 3)(x – 2) + (y – 2)(y – 5) = 0
x2 – 2x – 3x + 6 + y2 – 5y – 2y + 10 = 0
x2 + y2 – 5x – 7y + 16 = 0