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Binomial Theorem

Binomial Expansion, Middle Term

jee_main_2026_april_8_shift_2

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Question:

The coefficient of the middle term in the expansion of (1 + x)^8 is:

A. 56

B. 64

C. 70

D. 84

Step-by-Step Solution

Key Concept: For (1 + x)^n with n even, middle term is T_{n/2+1} with coefficient C(n, n/2).

Step 1: n = 8 (even), middle term = T₅ with coefficient C(8,4). Step 2: C(8,4) = 70.

Correct Answer: C

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