Let \( \lambda \neq 0 \) be in \( \mathrm{R} \). If \( \alpha \) and \( \beta \) are the roots of the equation, \( x^{2}…

Let \( \lambda \neq 0 \) be in \( \mathrm{R} \). If \( \alpha \) and \( \beta \) are the roots of the equation, \( x^{2}-x+2 \lambda=0 \) and \( \alpha \) and \( \gamma \) are the roots of the equation, \( 3 x^{2}-10 x+27 \lambda=0 \), then \( \frac{\beta \gamma}{\lambda} \) is equal to:

[JEE Main 2020, 4 Sep (Shift 2)]