The set of all real values of … for which the quadratic equations, (…² + 1)x² – 4…x + 2 = 0 always have exactly one root in the interval (0, 1) is :

Option D. Given quadratic equation,

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Quadratic Equation and Inequalities

JEE Main 2020 · 3 Sep, Evening shift · Q5075

MathematicsHard129×since 2002Q5075

The set of all real values of

\lambda

for which the quadratic equations, (

\lambda

² + 1)x² – 4

\lambda

x + 2 = 0 always have exactly one root in the interval (0, 1) is :