Straight Line Question 283

Question: The equations of the lines which cuts off an intercept -1 from y-axis are equally inclined to the axes are

Options:

A) $ x-y+1=0,\ \ x+y+1=0 $

B) $ x-y-1=0,\ \ x+y-1=0 $

C) $ x-y-1=0,\ \ x+y+1=0 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Here $ c=-1 $ and $ m=\tan \theta =\tan 45^{o}=1 $ (Since the line is equally inclined to the axes, so $ \theta =45^{o} $ ) Hence equation of straight line is $ y=\pm (1.x)-1 $
    Þ $ x-y-1=0 $ and $ x+y+1=0 $ .