The equation to a pair of opposite sides of a parallelogram are $x^{2} - 5 x + 6 = 0$ and $y^{2} - 6 x + 5 = 0$ .The equations to its diagonals are

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Solution

The correct option is C

Equation of diagonal $d_{1}$ is y - 1 = $\frac{5 - 1}{3 - 2} (x - 2)$

$\Rightarrow y - 1 = \frac{4}{1} (x - 2) \Rightarrow y = 4 x - 7$

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