Mathematics · 2020
JEE Main · 6 September 2020, Shift 2 · Q60
The set of all real values of λ for which the function f(x)=(1- cos^2 x) ·(λ+ sin x), x ∈(-(π)/2, (π)/2), has exactly one maxima and exactly one…
The set of all real values of $\displaystyle \lambda$ for which the function $\displaystyle f(x)=\left(1-\cos ^2 x\right) \cdot(\lambda+\sin x)$, $\displaystyle x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, has exactly one maxima and exactly one minima, is :
Official answer
(3)
$\displaystyle \left(-\frac{3}{2}, \frac{3}{2}\right)-\{0\}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.