Quantitative Aptitude Ques 878

Question: If the points $ (x+1,2), $ $ (1,x+2), $ $ ( \frac{1}{x+1},\frac{2}{x+1} ) $ are collinear, then x is

Options:

A) $ 4 $

B) 5

C) $ -4 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Since, the points are collinear. Hence, there slopes are equal. Now, $ \frac{(x+2)-2}{1-(x+1)}=\frac{( \frac{2}{x+1} )-(x+2)}{( \frac{1}{x+1} )-1} $

$ \Rightarrow $ $ -1=\frac{2-(x^{2}+3x+2)}{1-(x+1)} $

$ \Rightarrow $ $ x=-4 $