Class XI Mathematics

Chapter 7: Binomial Theorem

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

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Worksheet Details:

  • Title: Class XI Math: Binomial Theorem Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class XI Mathematics: Binomial Theorem

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Binomial Theorem
(a+b)^n = \sum_{r=0}^{n} ^nC_r a^{n-r} b^r
General Term of Expansion
T_{r+1} = ^nC_r a^{n-r} b^r

Section II: Answer the Questions

1. Given the integers r > 1, n > 2 and coefficients of (3r)th and (r + 2)th terms in the binomial expansion of (1 + x)2n are equal then

[ ] A. n = 2r[ ] B. n = 3r[ ] C. n = 2r + 1[ ] D. none of these

2. Find the number of terms in the expansion of the following : (1 + 2x + x2)20

[ ] A. 41[ ] B. 42[ ] C. 43[ ] D. 44

3. [Worksheet Question 1] Apply the formula Binomial Theorem to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

4. [Worksheet Question 2] Apply the formula Binomial Theorem to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

5. [Worksheet Question 3] Apply the formula Binomial Theorem to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined