Mathematics Question on solution of system of linear inequalities in two variables

Question

let $\lambda\neq 0$ be in r.If $\alpha$ and $\beta$ are the roots of the equation, then x2-x+2 $\lambda$ =0 and $\alpha$ and $\gamma$ are the roots of the equation, 3x2-10x+27 $\lambda$ =0,then $\frac{\beta\gamma}{\lambda}=?$

Answer 1

Solution

The correct answer is option (D) : 18