Let λ ≠ 0 be a real number. Let α, β be the roots of the equation 14x^2 - 31x + 3λ = 0 and α, γ be the roots of the equation 35x^2 - 53x + 4λ = 0. Then (3α)/(β) and (4α)/(γ) are the roots of the equation

Let λ ≠ 0 be a real number. Let α, β be the roots of the… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 29 Jan · Shift 1

Let

\lambda \neq 0

be a real number. Let

\alpha, \beta

be the roots of the equation

14x^2 - 31x + 3\lambda = 0

and

\alpha, \gamma

be the roots of the equation

35x^2 - 53x + 4\lambda = 0

. Then

\frac{3\alpha}{\beta}

and

\frac{4\alpha}{\gamma}

are the roots of the equation

Show answer

Correct option: D

[JEE Main 2023 · 29 Jan · Shift 1]

Practise Complex Numbers and Quadratic Equations the way it is asked

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