Question

If a line makes an angle of $\frac{\pi }{4}$ with the positive direction of $x$-axis, then the angle that it makes with another line passing through $(0,2)$ and $(6,8)$ is

• A. $0$
• B. $\frac{\pi }{4}$
• C. $\frac{\pi }{6}$
• D. $\frac{\pi }{2}$

Answer 1

The correct option is A $0$

Slope of first line $=\tan \frac{\pi }{4}=1$
Slope of line passing through $(0,2)$ and $(6,8)$
$=\frac{8-2}{6-0}=1$
As $m_1=m_2,$ so they are parallel.