The angle between the straight lines x^2+4 x y+y^2=0 is - Vidyadip

MCQ

The angle between the straight lines $x^2+4 x y+y^2=0$ is

A
$30^{\circ}$
B
$45^{\circ}$
✓
$60^{\circ}$
D
None of these

✓

Answer

Correct option: C.

$60^{\circ}$

(C) Given equation of pair of lines is $x^2+4 x y+y^2=0$
$\therefore \quad a=1, h=2, b=1$
$\therefore \quad \tan \theta=\left|\frac{2 \sqrt{h^2-a b}}{a+b}\right|=\left|\frac{2 \sqrt{(2)^2-(1)(1)}}{1+1}\right|=\sqrt{3}$
$\Rightarrow \theta=\tan ^{-1}(\sqrt{3})=60^{\circ}$

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