Straight Line Question 49

Question: The lines $ 2x+y-1=0,ax+3y-3=0 $ and $ 3x+2y-2=0 $ are concurrent for [EAMCET 1994]

Options:

A)All a

B) $ a=4 $ only

C) $ -1\le a\le 3 $

D) $ a>0 $ only

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given lines are concurrent, if $ | \begin{matrix} 2 & 1 & -1 \\ a & 3 & -3 \\ 3 & 2 & -2 \\ \end{matrix} |=0 $ . This is true for all values of a because $ C_2 $ and $ C_3 $ are identical.