Question

Find the value of $\lambda$, if the lines $3x-4y-13=0,8x-11y-33=0$ and $2x-3y+\lambda =0$ are concurrent.

• A. $-2$
• B. $-5$
• C. $-7$
• D. $-9$

Answer 1

The correct option is C $-7$

The given lines are concurrent, if :

$\left|\begin{array}{ccc}3& -4& -13\\ 8& -11& -33\\ 2& -3& \lambda \end{array}\right|=0$

$3(-11\lambda -99)+4(8\lambda +66)-13(-24+22)=0$

$\lambda =-7$