If \alpha, \beta, where \alpha< \beta, are the roots of the equation \lambda x^2-(\lambda+3) x+3=0 such that \frac{1}{\alpha}-\frac{1}{\beta}=\frac{1}{3}, then the sum of all possible values of \lambda is [28 Jan 2026 Shift 1]

JEE Main 28 Jan 2026 Shift 1 Paper Solved Paper

Section: Mathematics

Question : 5 of 75

Marks: +1, -0

If α,β, where α<β, are the roots of the equation λx2−(λ+3)x+3=0 such that ‌

−‌

=‌

, then the sum of all possible values of λ is

[28 Jan 2026 Shift 1]

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