Binomial Theorem | NCERT Solutions | Ex 8.1, 8.2, Miscellaneous

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In this video, first we will recap the formulae which are there in this chapter and then solve most of the questions
from the exercises 8.1, 8.2 and Miscellaneous exercise.
1. Ex. 8.1 – Q.5 - Expand using Binomial Theorem: (x + 1/x)^6
2. Ex. 8.1 – Q.10 - Using Binomial Theorem, indicate which number is larger (1.1)^10000 or 1000.
3. Ex. 8.1 – Q.14 - Prove that ∑ 3^r nCr = 4^n where 0 ≤ r ≤ n
4. Ex. 8.2 – Q.2 - Find the coefficient of a^5 b^7 in (a – 2b)^12
5. Ex. 8.2 – Q.6 - Find the 13th term in the expansion of (9x – 1/3√x)^18, x ≠ 0.
6. Ex. 8.2 – Q.12 - Find a positive value of m for which the coefficient of x^2 in the expansion (1 + x)^m is 6.
7. Ex. Mis – Q.2 - Find a if the coefficients of x^2 and x^3 in the expansion of (3 + ax)^9 are equal.
8. Ex. Mis – Q.4 - If a and b are distinct integers, prove that a – b is a factor of a^n – b^n, whenever n is a positive integer.
9. Ex. Mis – Q.6 - Find the value of [a^2 + √(a^2 - 1)]^4 + [a^2 - √(a^2 - 1)]^4
10. Ex. Mis – Q.10 - Find the expansion of (3x^2 – 2ax + 3a^2)^3 using binomial theorem.
11. NCERT Solutions of Class 11 Maths Chapter 8
12. Exercise 8.1 Maths Class 11
13. Exercise 8.2 Maths Class 11
14. Class 11 Maths Exercise 8.1 Question 2
15. Class 11 Maths Exercise 8.2 Question 3
16. NCERT Solutions of Class 11 Maths Binomial Theorem
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