The angle between the lines given by the equation y^2+ (1- ^2 ) x… - Vidyadip

MCQ

The angle between the lines given by the equation $\lambda y^2+\left(1-\lambda^2\right) x y-\lambda x^2=0$ is

A
$45^{\circ}$
B
$60^{\circ}$
✓
$90^{\circ}$
D
$15^{\circ}$

✓

Answer

Correct option: C.

$90^{\circ}$

(C) Given equation of pair of lines is
$\lambda y^2+\left(1-\lambda^2\right) x y-\lambda x^2=0$
$\therefore \quad a=-\lambda, b=\lambda$
Now $a + b =0$
$\therefore \quad$ the lines are perpendicular
$\therefore \quad$ Angle between the lines is $90^{\circ}$.

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