Question

The inclination of the straight line passing through the point $(-3,6)$ and the mid-point of the line joining the point $(4,-5)$ and $(-2,9)$ is

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

Answer 1

The correct option is D

$\frac{3\pi }{4}$

The midpoint of the line joining the points $(4,-5)$ and $(-2,9)$ is $(1,2)$.

Let $\theta$ be the inclination of the straight line passing through the points $(-3,6)$ and $(1,2)$.

Then, $tan\theta =\frac{2-6}{1+3}=-1$

$\Rightarrow \theta =\frac{3\pi }{4}$