JEE Mathematics · Medium

Binomial Theorem: Middle term MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Middle termMediumQuestion 280007

Question

The middle term in (x + 1/x)⁸ is:
  1. A
    ⁸C₄ = 70
  2. B
    56/x
  3. C
    70x
  4. D
    ⁸C₄ x⁰ = 70
    Correct

Correct answer

⁸C₄ x⁰ = 70

Explanation

n = 8 (even). Middle term = T₅ = ⁸C₄ x⁴ (1/x)⁴ = 70 × x⁰ = 70.