If α,β where α<β, are the roots of the equation λ x²-(λ+3)x+3=0 s… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 28 January, Shift 1Nature of Roots & Formation of Equations

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:

A
$8$
B
$6$
C
$4$
D
$2$

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