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Application of Derivatives question

2020 · 6 Sep · Shift 2 · Q25
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  5. /2020 · 6 Sep · Shift 2 · Q25

Application of Derivatives question

2020 · 6 Sep · Shift 2 · Q25

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The set of all real values of λ\lambdaλ for which the function f(x)=(1−cos⁡2x)(λ+sin⁡x),x∈(−π2,π2)f(x) = \left( {1 - {{\cos }^2}x} \right)\left( {\lambda + \sin x} \right),x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)f(x)=(1−cos2x)(λ+sinx),x∈(−2π​,2π​) has exactly one maxima and exactly one minima, is :
  1. A
    (−32,32)−{0}\left( { - {3 \over 2},{3 \over 2}} \right) - \left\{ 0 \right\}(−23​,23​)−{0}
  2. B
    (−32,32)\left( { - {3 \over 2},{3 \over 2}} \right)(−23​,23​)
  3. C
    (−12,12)−{0}\left( { - {1 \over 2},{1 \over 2}} \right) - \left\{ 0 \right\}(−21​,21​)−{0}
  4. D
    (−12,12)\left( { - {1 \over 2},{1 \over 2}} \right)(−21​,21​)
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