Question

Acute angle between the lines represented by $(x^2+y^2)\sqrt{3}=4xy$ is

• A. $\frac{\pi }{6}$
• B. $\frac{\pi }{4}$
• C. $\frac{\pi }{3}$
• D. $\frac{\pi }{12}$

Answer 1

The correct option is A

$\frac{\pi }{6}$

$\tan \theta =\frac{2\sqrt{h^2-ab}}{a+b}$
$tan\theta =\pm \frac{2\sqrt{4-3}}{2\sqrt{3}}=\frac{1}{\sqrt{3}}or\theta ={30}^{\circ }$

Hence, acute angle is ${30}^{\circ }$ or $\frac{\pi }{6}$