Let λ ≠ 0 be in R. If α and β are the roots of the equation, x² - x + 2 λ = 0 and α and γ are the roots of the equation, 3x² - 10x + 27λ = 0, then (β γ)/(λ) is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Evening shift · Q5141

JEE Main 20204 Sep, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

\lambda \ne 0

be in R. If

\alpha

and

\beta

are the roots of the equation, x² - x + 2

\lambda

= 0 and

\alpha

and

\gamma

are the roots of the equation,

3{x^2} - 10x + 27\lambda = 0

, then

{{\beta \gamma } \over \lambda }

is equal to: