Straight Line Question 357

Question: Equation to the straight line cutting off an intercept 2 from the negative direction of the axis of y and inclined at 30o to the positive direction of axis of x, is [MP PET 2003]

Options:

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 $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ y=mx+c $ ; $ \because $ $ m=\tan 30{}^\circ $ $ =\frac{1}{\sqrt{3}} $ ; $ c=-2 $

$ \therefore $ $ y=\frac{x}{\sqrt{3}}-2 $
Þ $ \sqrt{3}y-x+2\sqrt{3}=0 $ .