Mathematics · 2026
JEE Main · 28 January 2026, Shift 1 · Q3
If α, β, where α<β, are the roots of the equation λ x^2-(λ+3) x+3=0 such that 1/(α)-1/(β)=1/3, then the sum of all possible values of λ is
If $\displaystyle \alpha, \beta$, where $\displaystyle \alpha<\beta$, are the roots of the equation $\displaystyle \lambda x^2-(\lambda+3) x+3=0$ such that $\displaystyle \frac{1}{\alpha}-\frac{1}{\beta}=\frac{1}{3}$, then the sum of all possible values of $\displaystyle \lambda$ is
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 6$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.