Quantitative Aptitude Ques 819

Question: The value of k for which the lines $ 5x+3y+2=0 $ and $ 3x-ky+6=0 $ are perpendicular, is

Options:

A) 5

B) 4

C) 3

D) 2

Show Answer

Answer:

Correct Answer: A

Solution:

  • Slope of line $ 5x+3y=0 $
    $ \Rightarrow $ $ m _1=\frac{-,5}{3} $ Slope of line $ 3x-ky+6=0 $
    $ \Rightarrow $ $ m _2=\frac{3}{k}. $ Since, the two lines are perpendicular to each other.

$ \therefore $ $ m _1m _2=-1 $ $ \frac{-5}{3}\times \frac{3}{k}=-1 $
$ \Rightarrow $ $ k=5 $

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