Question

The equations of a pair of opposite sides of a parallelogram are $x^2$ -5x+6 = 0 and $y^2$ -6y+5=0, then the equation of the diagonal having positive slope is

• A. y = 4x+7
• B. y = 4x-7
• C. 4x+y = 13
• D. 4x+y = 15

Answer 1

The correct option is B

y = 4x-7

The sides are x = 2, x = 3, y = 1, y =5

= vertices are A (2, 1), B(3, 1), C(3, 5), D(2, 5)

Eqn of AC(+ve slope) is y = 4x - 7