Class 11 Math: Binomial Theorem Important Exam Questions

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 11 Binomial Theorem to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

• Option 1: n = 2r
• Option 2: n = 3r
• Option 3: n = 2r + 1
• Option 4: none of these

Solution Explanation & Steps: (a), we know (r + 1)th term in the expansion of (a + b)n is given by Tr + 1 = nCran - rbr Coefficient of (r + 1)th term = nCr According to the given condition, T3r = Tr + 2 i.e. 2nC(3r - 1) = 2nC(r + 1) ⇒ 3r - 1 = r + 1 or 3r - 1 + r + 1 = 2n ⇒ r = 1 or 4r = 2n ⇒ r = 1 (rejected) or n = 2n

Question 2 (EASY)

• Option 1: 41
• Option 2: 42
• Option 3: 43
• Option 4: 44

Solution Explanation & Steps: (a) 41 (1 + 2x + x2)20 = ((1 + x)2)20 = (1 + x)40 ⇒ 41 terms in the expansion.

Question 3 (EASY)

• Option 1: Systematic application of coordinate rules
• Option 2: Advanced integral equations
• Option 3: Infinite boundary coordinates
• Option 4: None of the above

Solution Explanation & Steps: Studying Binomial expansion for positive integers requires mastering basic coordinate relationships first.

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.