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ExamsJEE MainGeneral

If 5f(x) + 4f 1 x ⎛ ⎞ ⎜ ⎟ ⎝ ⎠ = x 2 – 2, ∀ x ≠ 0 and y = 9x 2 f(x), then y is strictly increasing in :

  1. 1 , 5 ⎛ ⎞ −∞ ⎜ ⎟ ⎝ ⎠ ∪ 1 0, 5 ⎛ ⎞ ⎜ ⎟ ⎝ ⎠
  2. 1 , 0 5 ⎛ ⎞ − ⎜ ⎟ ⎝ ⎠ ∪ 1 0, 5 ⎛ ⎞ ⎜ ⎟ ⎝ ⎠
  3. 1 0, 5 ⎛ ⎞ ⎜ ⎟ ⎝ ⎠ ∪ 1 , 5 ⎛ ⎞ ∞ ⎜ ⎟ ⎝ ⎠
  4. 1 , 0 5 ⎛ ⎞ − ⎜ ⎟ ⎝ ⎠ ∪ 1 , 5 ⎛ ⎞ ∞ ⎜ ⎟ ⎝ ⎠

Correct answer: 1 , 0 5 ⎛ ⎞ − ⎜ ⎟ ⎝ ⎠ ∪ 1 , 5 ⎛ ⎞ ∞ ⎜ ⎟ ⎝ ⎠

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