Q64.The coefficient of x256 in the expansion of (1 −x)101(x2 + x + 1)100 is: (1) 100C16 (2) 100C15 (3) −100C16 (4) −100C15
What This Question Tests
This question requires recognizing the algebraic identity (1-x)(x²+x+1) = 1-x³ to simplify the given expression before applying the binomial theorem to find the required coefficient.
Concepts Tested
Formulas Used
(1-x)(x²+x+1) = 1-x³
(1-x)ⁿ = Σ (-1)ʳ ⁿCᵣ xʳ
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Coefficient of a term in binomial expansion
- Year
- 2021
- Shift
- 20 Jul Shift 1
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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