Straight Line Question 42

Question: Which of the following lines is concurrent with the lines $ 3x+4y+6=0 $ and $ 6x+5y+9=0 $

Options:

A) $ 2x+3y+5=0 $

B) $ 3x+3y+5=0 $

C) $ 7x+9y+3=0 $

D)None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Check by options.From option (a), $ | \begin{matrix} 3 & 4 & 6 \\ 6 & 5 & 9 \\ 2 & 3 & 5 \\ \end{matrix} |=3(25-27)-4(12)+6(8)\ne 0 $ From option (b), $ | \begin{matrix} 3 & 4 & 6 \\ 6 & 5 & 9 \\ 3 & 3 & 5 \\ \end{matrix} |=3(25-27)-4(3)+6(3)=0 $