Straight Line Question 342

Question: A straight the makes an angle of $ 135^{o} $ with the x-axis and cuts y-axis at a distance -5 from the origin. The equation of the line is [MP PET 1998]

Options:

A) $ 2x+y+5=0 $

B) $ x+2y+3=0 $

C) $ x+y+5=0 $

D) $ x+y+3=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \because y=mx+c $
    Þ $ y=(\tan 135^{o})x-5 $
    Þ $ y=-x-5\Rightarrow x+y+5=0 $ .