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Binomial Theorem Class 11 NCERT Solutions

NCERT Solutions Class 11 Mathematics Chapter 8 Binomial Theorem Download In Pdf

Chapter 8 Binomial Theorem Download in pdf

Chapter 8 Binomial Theorem

Download NCERT Solutions for Class 11 Mathematics

(Link of Pdf file is given below at the end of the Questions List)

In this pdf file you can see answers of following Questions

EXERCISE 8.1


Expand each of the expressions in Exercises 1 to 5. Using binomial theorem, evaluate each of the following:

binomial theorem


mathematics


Question 6. (96)3


Question 7. (102)5


Question 8. (101)4


Question 9. (99)5


Question 10. Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.


Question 11. Find (a + b)4 – (a – b)4. Hence, evaluate ( 3 + 2)4– ( 3 – 2)4 .


Question 12. Find (x + 1)6 + (x – 1)6. Hence or otherwise evaluate ( 2 + 1)6 + ( 2 – 1)6.


Question 13. Show that 9n+1 – 8n – 9 is divisible by 64, whenever n is a positive integer.


EXERCISE 8.2


Find the coefficient of


Question 1. x5 in (x + 3)8 2. a5b7 in (a – 2b)1


Question 2. Write the general term in the expansion of


Question 3. (x2 – y)6


Question 4. (x2 – yx)12, x ≠ 0.


Question 5. Find the 4th term in the expansion of (x – 2y)12.


Question 6. Find the 13th term in the expansion of 18 9 1 3 x x , x ≠ 0. Find the middle terms in the expansions of


Question 7. 3 7 6 3 − x


Question 8. 10 9 3 x + y


Question 9. In the expansion of (1 + a)m+n, prove that coefficients of am and an are equal.


Question 10. The coefficients of the (r – 1)th, rth and (r + 1)th terms in the expansion of (x + 1)n are in the ratio 1 : 3 : 5. Find n and r.


Question 11. Prove that the coefficient of xn in the expansion of (1 + x)2n is twice the coefficient of xn in the expansion of (1 + x)2n – 1.


Question 12. Find a positive value of m for which the coefficient of x2 in the expansion (1 + x)m is 6.


 


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