The set of all real values of λ for which the function f(x) = (1 - cos ²x)(λ + sin x),x (- (π)/2,(π)/2) has exactly one maxima and exactly one minima, is:

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 6 Sep, Evening shift · Q2646

JEE Main 20206 Sep, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The set of all real values of

\lambda

for which the function

f(x) = \left( {1 - {{\cos }^2}x} \right)\left( {\lambda + \sin x} \right),x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)

has exactly one maxima and exactly one minima, is :

JEE Main 2020 · 6 Sep, Evening shift · Q2646

JEE Main 20206 Sep, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The set of all real values of

\lambda

for which the function

f(x) = \left( {1 - {{\cos }^2}x} \right)\left( {\lambda + \sin x} \right),x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)

has exactly one maxima and exactly one minima, is :