**Correct option ****(c) 4x + y = 13, y = 4x - 7**

**Explanation :**

We have

x^{2} − 5x + 6 = (x − 2)(x -3)

y^{2} − 6y + 5 = (y − 1)(y - 5)

Therefore, the sides of the parallelogram are

x = 2, x = 3 and y = 1, y = 5

Therefore, the vertices of the rectangle are A(2, 1), B(3, 1), C(3, 5) and D(2, 5). Hence, the equation of AC is