Straight Line Question 363

Question: For the lines $ 2x+5y=7 $ and $ 2x-5y=9, $ which of the following statement is true

Options:

A)Lines are parallel

B)Lines are coincident

C)Lines are intersecting

D)Lines are perpendicular

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let $ L_1\equiv 2x+5y-7=0 $ and $ L_2\equiv 2x-5y-9=0 $ , so that $ m_1=-\frac{2}{5},m_2=+\frac{2}{5} $ . Lines are neither parallel nor perpendicular, also not coincident. Hence the lines are intersecting.