First slide

Pair of straight lines

Question

If the adjacent sides of a parallelogram are $2 x^{2} - 5 x y + 3 y^{2} = 0$ and one diagonal is x+y+2=0 then the other diagonal is

Moderate

A

$9 x - 11 y = 0$
B

$9 x + 11 y = 0$
C

$11 x - 9 y = 0$
D

$11 x + 9 y = 0$

Solution

$a = 2, 2 h = - 5, b = 3$
$l = m = 1, n = 2$
$(b l - h m) y = (a m - h l) x$
$\Rightarrow 9 x - 11 y = 0$

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