Straight Line Question 304

Question: A line passes through the point of intersection of $ 2x+y=5 $ and $ x+3y+8=0 $ and parallel to the line $ 3x+4y=7 $ is [RPET 1984; MP PET 1991]

Options:

A) $ 3x+4y+3=0 $

B) $ 3x+4y=0 $

C) $ 4x-3y+3=0 $

D) $ 4x-3y=3 $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Point of intersection $ y=-\frac{21}{5} $ and $ x=\frac{23}{5} $

$ \therefore $ $ 3x+4y=\frac{3(23)+4(-21)}{5}=\frac{69-84}{5}=-3 $ . Hence, required line is $ 3x+4y+3=0 $ .