Q. The angle between the lines represented by the equation $2x^{2} + 3xy - 5y^{2} = 0,$ is
A) $\frac{\pi}{3}$
B) $\frac{\pi}{2}$
C) $\tan^{- 1}\left| \frac{12}{5} \right|$
D) $\tan^{- 1}\left| \frac{7}{3} \right|$
Explanation
(d)
$Here,\ a = 2,\ \ h = \frac{3}{2},\ \ b = - 5$
$\therefore\ \tan\theta = \left| \frac{2\sqrt{\left( \frac{3}{2} \right)^{2} + 10}}{2 - 5} \right| = \left| \frac{\sqrt{49}}{- 3} \right|$
$\Rightarrow \ \theta = \tan^{- 1}\left| \frac{7}{3} \right|$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.