Question

The equation of the line passing through origin and making an angle ${30}^{\circ }$ with xaxis is

• A. $x=\sqrt{3}y$
• B. $y=\sqrt{3}x$
• C. $x=3y$
• D. $y=3x$

Answer 1

Answer: (A)

$x=\sqrt{3}y$

The angle made by line is ${30}^{\circ }$

The slope of line is $m=\tan 30=\frac{1}{\sqrt{3}}$

Equation of line is $y=mx+c$

$y=\frac{1}{\sqrt{3}}x+c$

Put $(x,y)=(0,0)\Rightarrow c=0$

$\Rightarrow y=\frac{1}{\sqrt{3}}x$

$\therefore x=\sqrt{3}y$