Q. The inclination of the straight line passing through the point $( - 3,\ 6)$ and the mid point of the line joining the points $(4,\ - 5)$ and $( - 2,\ 9)$ is
A) $\frac{\pi}{4}$
B) $\frac{\pi}{6}$
C) $\frac{\pi}{3}$
D) $\frac{3\pi}{4}$
Explanation
(d)
Mid point of the line joining the points $(4,\ - 5)$ and $( - 2,\ 9)$ is
$\left( \frac{4 - 2}{2},\frac{- 5 + 9}{2} \right)\ ie,\ (1,\ 2)$
$\therefore$ Inclination of straight line passing through point $( - 3,\ 6)$ and mid point (1, 2) is
$m = \frac{2 - 6}{1 + 3} = \frac{- 4}{4} = - 1$
$\therefore\tan\theta = - 1\ \Rightarrow \ \theta = \frac{3\pi}{4}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.