Question

The equation of line passing through point $(1,2)$ and making up angle $30^{\circ}$ with $Y$-axis is

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

Answer 1

Answer: (B)

Line makes $60^{\circ}$ with $x$-axis
$\Rightarrow m=\tan 60^{\circ}=\sqrt{3}$
$\therefore $ equation $y-2=\sqrt{3}(x-1)$
$\Rightarrow y-\sqrt{3} x-2+\sqrt{3}=0$