How many MCQ questions are available for Binomial Theorem?

There are 47 MCQ questions available for Binomial Theorem (Class 11 Mathematics) — 20 easy, 12 medium, and 15 hard.

Binomial Theorem

Q: What topics are covered in Binomial Theorem?

Key concepts covered: Applications of binomial theorem, Binomial coefficients, Binomial theorem statement, General term, Middle term, Particular terms, Pascal's triangle, Properties of binomial coefficients.

Class 11 · Mathematics

47 questions20 easy12 medium15 hard

Sample Questions

Q1.The general term (r+1)th term in the expansion of (a+b)ⁿ is:

AⁿCᵣ aⁿ⁻ʳ bʳ
BⁿCᵣ aʳ bⁿ⁻ʳ
CⁿCᵣ₋₁ aⁿ⁻ʳ bʳ⁻¹
DⁿCᵣ aⁿ bʳ

Q2.The coefficient of x² in (1+x+x²)⁴ is:

Q3.The coefficient of aⁿ⁻¹b in the expansion of (a+b)ⁿ is:

A1
Bn–1
Cn
Dn(n–1)/2

Q4.The number of terms in the expansion of (a + b)ⁿ is:

An
Bn – 1
Cn + 1
D2n

Q5.The property ⁿCᵣ = ⁿCₙ₋ᵣ implies that in Pascal's triangle:

AEach row is symmetric about the middle
BEach row adds to 2ⁿ
CEach entry is the sum of two above it
DThe triangle has only prime entries

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Applications of binomial theoremBinomial coefficientsBinomial theorem statementGeneral termMiddle termParticular termsPascal's triangleProperties of binomial coefficients

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