Question

Acute angle between the lines represented by

$(x^{2} + y^{2})\sqrt{3} = 4xy$ is

• A. $\pi/6$
• B. $\pi/4$
• C. $\pi/3$
• D. None of these

Answer 1

Answer: (A)

$\pi/6$

Answer 2

$\tan\theta = \pm \frac{2\sqrt{4 - 3}}{2\sqrt{3}} = \frac{1}{\sqrt{3}}$or $\theta = 30{^\circ}$

Hence, acute angle is 30° or $\frac{\pi}{6}$.