Straight Line Question 325

Question: The straight line passes through the point of inter -section of the straight lines $ x+2y-10=0 $ and $ 2x+y+5=0, $ is [IIT 1983]

Options:

A) $ 5x-4y=0 $

B) $ 5x+4y=0 $

C) $ 4x-5y=0 $

D) $ 4x+5y=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

  • From option B, $ \begin{vmatrix} 1 & 2 & -10 \\ 2 & 1 & 5 \\ 5 & 4 & 0 \\ \end{vmatrix} =1(0-20)-2(-25)-10(3)=0 $ Hence, option (b) is the correct answer.