First slide

Pair of straight lines

Question

The equation of the bisectors of the angle between the two straight lines $2 x^{2} - 3 x y + y^{2} = 0$ is

Moderate

A

$3 x^{2} - 2 x y + 3 y^{2} = 0$
B

$x^{2} + x y - y^{2} = 0$
C

$3 x^{2} + 2 x y + 3 y^{2} = 0$
D

$3 x^{2} + 2 x y - 3 y^{2} = 0$

Solution

$a = 2, 2 h = - 3, b = 1$
$h (x^{2} - y^{2}) = (a - b) x y$
$3 x^{2} + 2 x y - 3 y^{2} = 0$

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