Mathematics · 2020
JEE Main · 3 September 2020, Shift 2 · Q52
The set of all real values of λ for which the quadratic equations, (λ^2+1) x^2-4 λ x+2=0 always have exactly one root in the interval (0,1) is:
The set of all real values of $\displaystyle \lambda$ for which the quadratic equations, $\displaystyle \left(\lambda^2+1\right) x^2-4 \lambda x+2=0$ always have exactly one root in the interval $\displaystyle (0,1)$ is :
Official answer
(3)
$\displaystyle (1,3]$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.