Learn

Friday, 9 October

JEE Main 2020 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 6 September 2020, Shift 2, Maths Q60

Question 60 of 75 in this shift, Maths question 10 of 25.

The set of all real values of λ\lambda for which the function f(x)=(1−cos⁡2x)⋅(λ+sin⁡x)f(x)=(1-\cos^2 x)\cdot(\lambda+\sin x), x∈(−π2,π2)x\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right), has exactly one maxima and exactly one minima, is :
  1. (1)(−12,12)−{0}\left(-\frac{1}{2},\frac{1}{2}\right)-\{0\}
  2. (2)(−12,12)\left(-\frac{1}{2},\frac{1}{2}\right)
  3. (3)(−32,32)−{0}\left(-\frac{3}{2},\frac{3}{2}\right)-\{0\}Official answer
  4. (4)(−32,32)\left(-\frac{3}{2},\frac{3}{2}\right)

Official answer

Option 3

NTA final key (Sep 2020).