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Binomial Theorem
Binomial Expansion, Middle Term
jee_main_2026_april_6_shift_2
Grade None

Question:

The middle term in the expansion of (1 + x)^6 is:
A. 15x²
B. 20x³
C. 15x⁴
D. 6x⁵

Step-by-Step Solution

Key Concept: For (1 + x)^n with n even, middle term is T_{n/2+1}.
Step 1: n = 6 (even), middle term = T_{6/2+1} = T₄. Step 2: T₄ = C(6,3)x³ = 20x³.
Correct Answer: B
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