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Binomial Theorem — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

Binomial Expansion & Properties(15 Qs)

easy (5)

Q1The (r+1)th term in (a+b)ⁿ is:Q2The number of terms in (a+b)ⁿ is:Q3(1+1)ⁿ = 2ⁿ gives:Q4The middle term of (a+b)⁶ is:Q5(1+x)² = 1 + 2x + x² is an example of binomial expansion with n =

medium (5)

Q1The coefficient of x³ in (1+x)⁸ is:Q2In (x+1/x)¹⁰, the term independent of x is:Q3ⁿC₀ - ⁿC₁ + ⁿC₂ - ... + (-1)ⁿ ⁿCₙ equals:Q4The greatest binomial coefficient in (1+x)²ⁿ is:Q5Pascal's triangle rule: ⁿCᵣ =

hard (5)

Q1The sum ⁿC₁ + 2·ⁿC₂ + 3·ⁿC₃ + ... + n·ⁿCₙ equals:Q2The remainder when 7¹⁰⁰ is divided by 4 is:Q3(1+x)ⁿ for negative/fractional n is an ___ series:Q4The greatest term in (1+x)ⁿ for x > 0 occurs when r satisfies:Q5Multinomial theorem: (x₁+x₂+...+xₖ)ⁿ has ___ terms:

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