NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem — Exercise 8.20

NCERT class 11 maths chapter 8 Binomial Theorem

Question 1:Find a, b and n in the expansion of (a + b)n if the first three terms of the expansion are 729, 7290 and 30375, respectively.

Exercise Miscellaneous maths class 11 Chapter 8 Binomial Theorem

Question 2:Find a if the coefficients of x2 and x3 in the expansion of (3 + ax)9 are equal.

CBSE class 11 maths ncert solutions Chapter 8

Question 3:Find the coefficient of x5 in the product (1 + 2x)6 (1 – x)7 using binomial theorem.

class 11 maths solutions Binomial Theorem

Question 4:If a and b are distinct integers, prove that a – b is a factor of an – bn, whenever n is a positive integer. [Hint write an = (a – b + b)n and expand]

NCERT class 11 chemistry chapter 8 exercise solutions

Question 5:Evaluate ( ) ( ) 6 6 3 + 2 − 3 − 2 .

Binomial Theorem class 11 ncert solutions

Question 6:Find the value of ( ) ( ) 4 4 2 2 2 2 a + a −1 + a − a −1 .

Question 7:Find an approximation of (0.99)5 using the first three terms of its expansion.

Exercise Miscellaneous class 11 Math ncert solutions Chapter 8

Question 8:Find n, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of 4 4 1 2 3 n æ ö ç + ÷ è ø is 6 :1.

Miscellaneous Exercise on Chapter 81. Find a, b an

Question 9:Expand using Binomial Theorem 4 2 1 0 2 x , x x æ + − ö ¹ çè ÷ø .

Question 10:Find the expansion of (3x2 – 2ax + 3a2)3 using binomial theorem.