Quantitative Aptitude Ques 1028

Question: A line passes through the point (3, 5) and makes an angle of $ 135{}^\circ $ with the X-axis. The equation of the line is

Options:

A) $ x+y-8=0 $

B) $ x-y+8=0 $

C) $ x-y+8=0 $

D) $ x+y+8=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

  • The equation of the line is $ \frac{y-5}{x-3}=\tan 135{}^\circ =\tan (180{}^\circ -45{}^\circ ) $ $ =-\tan 45{}^\circ =-1{}^\circ $

$ \Rightarrow $ $ y-5=-x+3 $

$ \therefore $ Equation of line is $ x+y-8=0. $

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