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Functions question

2021 · 16 Mar · Shift 1 · Q33
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  5. /2021 · 16 Mar · Shift 1 · Q33

Functions question

2021 · 16 Mar · Shift 1 · Q33

JEE MainMathematicsFunctionsMCQ+4 / −1
The range of a ∈\in∈ R for which the function f(x) = (4a −-− 3)(x + loge 5) + 2(a −-− 7) cot (x2)\left( {{x \over 2}} \right)(2x​) sin2 (x2)\left( {{x \over 2}} \right)(2x​), x eee 2n π\piπ, n ∈\in∈ N has critical points, is :
  1. A
    [1, ∞\infty∞)
  2. B
    (−-− 3, 1)
  3. C
    [−43,2]\left[ { - {4 \over 3},2} \right][−34​,2]
  4. D
    (−∞-\infty−∞, −-− 1]
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