The total number of terms in the expansion of (a² + 2ab + b²)¹⁰¹ is :
The CBSE 2024-2025 NCERT Maths curriculum for Class 11th Chapter 7: Binomial Theorem introduces students to the expansion of binomial expressions using the Binomial Theorem. This chapter covers key concepts such as binomial coefficients Pascal’s Triangle and the general form of binomial expansion. It also explores applications of the theorem in simplifying complex algebraic expressions. The chapter includes MCQ questions to help students test their understanding and apply the theorem effectively. These questions are designed to enhance problem-solving skills and prepare students for both board exams and competitive tests. Mastering the Binomial Theorem builds a strong foundation for advanced mathematics and improves logical reasoning.
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Choice (b) is correct.
We have, (a² + 2ab + b²)¹⁰¹ = {(a + b)² }¹⁰¹ = (a + b) ²⁰²
We know that the total number of terms in the expansion of (x + a)ⁿ is (n + 1).
Total number of terms in the expansion of (a + b) ²⁰² is (202 + 1) = 203.
Total number of terms in the expansion of (a² + 2ab + b²) ¹⁰¹ is 203.
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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