Straight Line Question 24

Question: If the line $ 2x+3ay-1=0 $ and $ 3x+4y+1=0 $ are mutually perpendicular, then the value of a will be [MNR 1975]

Options:

A) $ \frac{1}{2} $

B) 2

C) $ -\frac{1}{2} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ ( \frac{-2}{3a} )( \frac{-3}{4} )=-1 $ or $ a=\frac{-1}{2} $ .