Quantitative Aptitude Ques 1597

Question: If the inclination of a line joining the points $ A(x,-3) $ and $ B(2,5) $ is $ 135{}^\circ , $ then $ x $ is equal to

Options:

A) 10

B) 15

C) 20

D) 25

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Slope of $ AB=\frac{5+3}{2-x}=\frac{8}{2-x}=\tan 135{}^\circ $ $ \tan (180{}^\circ -135{}^\circ )=\frac{8}{2-x} $

$ \Rightarrow $ $ -\tan 45{}^\circ =\frac{8}{2-x} $
$ \Rightarrow $ $ -1=\frac{8}{2-x} $

$ \Rightarrow $ $ -2+x=8 $
$ \Rightarrow $ $ x=10 $