Q. The slopes of the lines which make an angle $45{^\circ}$ with the line $3x - y = - 5$ are
A) $1,\ - 1$
B) $\frac{1}{2},\ - 1$
C) $1,\frac{1}{2}$
D) $- 2,\ \frac{1}{2}$
Explanation
(d)
Let $m$ be the required slope
$\therefore\left| \frac{m - 3}{1 + 3m} \right| = 1$
$\Rightarrow \ \frac{m - 3}{1 + 3m} = \pm 1$
$\Rightarrow \ m - 3 = 1 + 3\ m$
and $m - 3 = - 1 - 3m$
$\Rightarrow \ m = - 2,\ m = \frac{1}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.