SATHEE: Straight Line Question 389

Straight Line Question 389

Question: A straight line makes an angle of $ 135^{o} $ with x-axis and cuts y-axis at a distance of -5 from the origin. The equation of the line is [Pb. CET 2001]

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:

Let the equation of line is $ y=mx+c $ Given line makes an angle of $ 135{}^\circ $ with x-axisSo, $ m=\tan \theta =\tan 135{}^\circ =-1 $ and cuts the intercepts -5 from origin to y-axis i.e., $ c=-5 $ Hence, equation of line is $ y=-x-5\Rightarrow x+y+5=0 $ .

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Straight Line Question 389

Question: A straight line makes an angle of $ 135^{o} $ with x-axis and cuts y-axis at a distance of -5 from the origin. The equation of the line is [Pb. CET 2001]

Options:

Answer:

Solution:

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