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NTA Abhyas JEE Main2020MathematicsFunctionsPractice

If f : R → A defined as f x = t a n - 1 4 x 2 + x + 1 is surjective, then A is equal to

Options

  1. A- π 2 , π 2
  2. B0 , π 2
  3. Cπ 3 , π 2
  4. D0 , π 3

Correct answer

C. π 3 , π 2

Step-by-step solution

∵ x 2 + x + 1= x + 1 2 2 + 3 4 ∴ 4 x 2 + x + 1 ≥ 3 ⇒ 4 x 2 + x + 1 ≥ 3 ∴ Range of f x is π 3 , π 2

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