Expresswala Academy Mathematics Tuition
Search Book a free demo

Class 11

Binomial Theorem, Course Quiz

Ten questions across the whole Binomial Theorem course. Pick one answer for each.

10 questions, one mark each. 6 to pass. Suggested time: 20 minutes. Your answers are not recorded.

  1. Expand (a−b)4(a - b)^4.
  2. What is nC0−nC1+nC2−⋯+(−1)n nCn^nC_0 - {}^nC_1 + {}^nC_2 - \cdots + (-1)^n\, {}^nC_n for n≥1n \ge 1?
  3. Find the coefficient of x2x^2 in (1+x)8(1 + x)^8.
  4. Find the coefficient of xx in (2x−1)3(2x - 1)^3.
  5. What is the coefficient of the middle term of (a+b)10(a + b)^{10}?
  6. Use (100−1)2(100 - 1)^2 to find 99299^2.
  7. How many terms does (1+x)12(1 + x)^{12} have?
  8. Find the 33rd term of (x+3)5(x + 3)^5.
  9. Find the term independent of xx in (x2+1x)6\displaystyle \left(x^2 + \tfrac{1}{x}\right)^6.
  10. Find the sum of the coefficients in (1+x)10(1 + x)^{10}.
Unanswered questions are marked wrong.

More practice

All practice quizzes