Straight Line Question 97

Question: The distance between two parallel lines $ 3x+4y-8=0 $ and $ 3x+4y-3=0 $ , is given by [MP PET 1984]

Options:

A)4

B)5

C)3

D)1

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the distance of both lines are $ p_1 $ and $ p_2 $ from origin, then $ p_1=-\frac{8}{5} $ and $ p_2=-\frac{3}{5} $ . Hence distance between both the lines $ =|p_1\tilde{\ }p_2|=\frac{5}{5}=1 $ .