The coefficients of xᵖ and xᑫ, p and q are positive integers in the expansion of (1 + x)ᵖ ⁺ ᑫ are
Chapter 7: Binomial Theorem in Class 11th NCERT Maths for CBSE 2024-2025 introduces a systematic approach to expanding binomial expressions. It covers fundamental concepts like binomial coefficients, Pascal’s Triangle and the expansion formula. The chapter emphasizes simplifying complex algebraic expressions, making them easier to work with. MCQ Questions included in the chapter help students assess their understanding and boost their problem-solving skills. These questions encourage logical thinking and are great practice for exams. Mastering the Binomial Theorem prepares students for both board exams and competitive tests, providing a strong foundation in mathematics. It enhances reasoning abilities and equips students with the tools to solve advanced mathematical problems confidently.
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Choice (a) is correct.
We know that the coefficient of xʳ in the expansion of (1 + x)ⁿ is ⁿCᵣ
The coefficient of xᵖ in the expansion of (1 + x) ᵖ ⁺ ᑫ is ᵖ ⁺ ᑫCₚ
and the coefficient of xᑫ in the expansion of (1 + x)ᵖ ⁺ ᑫ is ᵖ ⁺ ᑫCₚ = ᵖ ⁺ ᑫCₚ
Hence, the coefficient of xᵖ and xᑫ in the expansion of (1 + x)ᵖ ⁺ ᑫ are equal.
This question related to Chapter 7 maths Class 11th NCERT. From the Chapter 7: Binomial Theorem. Give answer according to your understanding.
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