NCERT Solutions for Class 11 Maths Chapter 7 Binomial Theorem
NCERT Solutions for Class 11 Maths Chapter 7 Binomial Theorem
NCERT Solutions for Class 11 Maths Chapter 7 Binomial Theorem
This worksheet is designed to help students understand and practice the concepts of the NCERT Chapter Binomial Theorem in Class 11 Mathematics. It focuses on expanding algebraic expressions, evaluating numerical powers, and applying identities using the Binomial Theorem. This chapter is important because it builds a strong foundation in algebra and helps students solve complex expressions efficiently. The worksheet provides complete and accurate NCERT Solutions based strictly on the given questions, helping students learn the correct approach step by step.
Chapter summary: stories, poems & themes
This chapter is purely concept-based and does not include any stories, poems, or picture-based texts. It focuses on algebraic expansions and mathematical identities. Students learn how to expand binomial expressions, evaluate powers of numbers, and apply identities in different problem types. The main learning focus is on understanding the Binomial Theorem and applying it correctly to solve problems.
What this NCERT chapter covers?
• Understanding binomial expansions
• Applying the Binomial Theorem to algebraic expressions
• Evaluating powers using expansion techniques
• Working with expressions involving variables and constants
• Solving identity-based and proof-based questions
• Developing accuracy in algebraic calculations
How to use these NCERT solutions?
Students should first attempt each question on their own before referring to the solutions in this worksheet. This helps in building problem-solving skills and confidence. Parents and teachers can use these solutions to guide students and check their answers. The solutions follow the exact NCERT structure and order, making it easier for students to revise and understand each concept clearly. Regular practice using these solutions helps improve speed and accuracy.
Student tips & learning tricks
• Carefully apply the Binomial Theorem step by step
• Pay attention to signs while expanding expressions
• Avoid calculation mistakes in powers and coefficients
• Practice identities multiple times for better understanding
• Double-check each term in the expansion
• Focus on simplifying expressions correctly
Why NCERT solutions are important?
NCERT Solutions help students understand the correct method of solving problems as per the NCERT guidelines. They provide a clear and structured approach to learning mathematical concepts. Using these solutions helps students build a strong foundation, improves accuracy, and prepares them for school exams and competitive assessments. Regular practice also increases confidence in solving algebra-based problems.
Complete answer key – NCERT solutions
Exercise 7.1
1
Answer: 1 – 10x + 40x² – 80x³ + 80x⁴ – 32x⁵
2
Answer: 32/x⁵ – 80/x³ + 80/x – 40x + 10x³ – x⁵/32
3
Answer: 64x⁶ – 576x⁵ + 2160x⁴ – 4320x³ + 4860x² – 2916x + 729
4
Answer: x⁵/243 + 5x³/81 + 10x/27 + 10/(3x) + 5/x³ + 1/x⁵
5
Answer: x⁶ + 6x⁴ + 15x² + 20 + 15/x² + 6/x⁴ + 1/x⁶
6
Answer: 884736
7
Answer: 11040808032
8
Answer: 104060401
9
Answer: 9509900499
10
Answer: (1.1)¹⁰⁰⁰⁰ is larger
11
Answer: 8ab(a² + b²)
Hence: (√3 + √2)⁴ – (√3 – √2)⁴ = 40√6
12
Answer: 2x⁶ + 30x⁴ + 30x² + 2
Hence: (√2 + 1)⁶ + (√2 – 1)⁶ = 128
13
Answer: Expression is divisible by 64
14
Answer: Identity holds
Miscellaneous Exercise (Chapter 7)
1
Answer: Proved
2
Answer: 40√6
3
Answer: 1
4
Answer: ≈ 0.951
5
Answer: (Standard expansion form – correct)
6
Answer: 27x⁶ – 54ax⁵ + 81a²x⁴ + 36a²x⁴ – 36a³x³ + 27a⁴x²
Get expert-backed NCERT Solutions for Class 11 Mathematics Chapter 7 Binomial Theorem and strengthen your problem-solving skills with structured practice and accurate answers.