Question

The line passes through$(1,0)$ and$(-2,\surd 3)$ makes an angle of ___ with the$x$-axis.

• A. $60°$
• B. $120°$
• C. $150°$
• D. $135°$

Answer 1

The correct option is C

$150°$

Find the angle of the line from $x$-axis

The slope of the line passing through$(1,0)$ and$(-2,\surd 3)$ =$m=\frac{y_2–y_1}{x_2–x_1}$

so, the slope of the given line =$m=\frac{\sqrt{3}-0}{-2-\left(1\right)}=-\frac{1}{\sqrt{3}}$

$$\begin{gathered} \Rightarrow m=\tan \theta =-\frac{1}{\sqrt{3}} \\ \Rightarrow \theta =150° \end{gathered}$$

Hence, the correct option is $\mathrm{Option}\left(\mathrm{C}\right)$.