Straight Line Question 11

Question: To which of the following types the straight lines represented by $ 2x+3y-7=0 $ and $ 2x+3y-5=0 $ belong [MP PET 1982]

Options:

A) Parallel to each other

B) Perpendicular to each other

C) Inclined at $ 45^{o} $ to each other

D) Coincident pair of straight lines

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let $ L_1\equiv 2x+3y-7=0 $ and $ L_2\equiv 2x+3y-5=0 $ Here slope of $ L_1= $ slope of $ L_2=-\frac{2}{3} $ . Hence the lines are parallel.