Question

Equation to the straight line cutting off an intercept $2$ from negative direction of the axis of $y$ and inclined at ${30}^0$ to the positive direction to the axis of $x$ is :-

• A. $y+x-\sqrt{3}=0$
• B. $y-x+2=0$
• C. $y-\sqrt{3}x-2=0$
• D. $\sqrt{3}y-x+2\sqrt{3}=0$

Answer 1

The correct option is D $\sqrt{3}y-x+2\sqrt{3}=0$

$m=\tan {30}^o=\frac{1}{\sqrt{3}}$
$m=\tan {30}^o=\frac{1}{\sqrt{3}}$
$c=-2$
$y=\frac{1}{\sqrt{3}}x-2$