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Question 280008
JEE Mathematics · Medium

Binomial Theorem: Greatest term MCQ

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Greatest termMediumQuestion 280008

Question

In (1 + x)ⁿ, the term independent of x in (x + 1/x²)⁹ is:
  1. A
    T₄ = ⁹C₃
    Correct
  2. B
    T₇
  3. C
    T₁
  4. D
    None

Correct answer

T₄ = ⁹C₃

Explanation

General term: ⁹Cᵣ x^(9−r) (1/x²)^r = ⁹Cᵣ x^(9−3r). For independence: 9−3r = 0 → r = 3. T₄ = ⁹C₃ = 84.

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