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

Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 3 Sep, Evening shift · Q5075

JEE Main 20203 Sep, Evening shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

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 :