Question

If the lines $x+q=0,y-2=0$ and $3x+2y+5=0$ are concurrent, then the value of q will be

• A. 1
• B. 2
• C. 3
• D. 5

Answer 1

The correct option is C

3

The lines $x+q=0,y-2=0$ and $3x+2y+5=0$ are concurrent.

$\therefore \left|\begin{array}{ccc}1& 0& q\\ 0& 1& -2\\ 3& 2& 5\end{array}\right|=0$

$\Rightarrow 1(5+4)-0+q(0-3)=0$

$\Rightarrow 3q=9$

$\Rightarrow q=3$