In This Post we are providing Chapter – 8 Binomial Theorem NCERT Solutions for Class 11 Maths which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These Class 11 can be really helpful in the preparation of Binomial Theorem Board exams and will provide you with in depth detail of the chapter.
We have solved every question stepwise so you don’t have to face difficulty in understanding the solutions. It will also give you concepts that are important for overall development of students. Class 11 Maths Binomial Theorem NCERT Written Solutions will be useful in higher classes as well because variety of questions related to these concepts can be asked so you must study and understand them properly.
Expand each of the expressions in Exercises 1 to 5.
Ex 8.1 Class 11 Maths Question 1.
Solution.
Ex 8.1 Class 11 Maths Question 2.
Solution.
Ex 8.1 Class 11 Maths Question 3.
Solution.
Ex 8.1 Class 11 Maths Question 4.
Solution.
Ex 8.1 Class 11 Maths Question 5.
Solution.
Using binomial theorem, evaluate each of the following
Ex 8.1 Class 11 Maths Question 6.
Solution.
Ex 8.1 Class 11 Maths Question 7.
Solution.
Ex 8.1 Class 11 Maths Question 8.
Solution.
Ex 8.1 Class 11 Maths Question 9.
Solution.
Ex 8.1 Class 11 Maths Question 10.
Using Binomial Theorem, indicate which number is larger
Solution.
Splitting 1.1 and using binomial theorem to write the first few terms we have
Ex 8.1 Class 11 Maths Question 11.
Find 
Solution.
By binomial theorem, we have
Ex 8.1 Class 11 Maths Question 12.
Find 
Solution.
By using binomial theorem, we have
Ex 8.1 Class 11 Maths Question 13.
Show that 
Solution.
We have to prove that 
Ex 8.1 Class 11 Maths Question 14.
Prove that 
Solution.
We have,
We hope the NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.1 help you. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.1, drop a comment below and we will get back to you at the earliest.
Ex 8.2 Class 11 Maths Question 1.
Find the coefficient of x5 in (x + 3)8
Solution.
Suppose x5 occurs in the (r + 1)th term of the expansion (x + 3)8
Ex 8.2 Class 11 Maths Question 2.
a5 b7in (a-2b)12
Solution.
Suppose a5 b7 occurs in the (r + 1)th term of the expansion (a – 2b)12.
Write the general term in the expansion of
Ex 8.2 Class 11 Maths Question 3.
(x2 – y)6
Solution.
Ex 8.2 Class 11 Maths Question 4.
(x2 – yx)12, x ≠ 0
Solution.
We have given, (x2 – yx)12 = (x2 + (- yx))12, x ≠ 0
Ex 8.2 Class 11 Maths Question 5.
Find the 4th term in the expansion of (x – 2y)12.
Solution.
Ex 8.2 Class 11 Maths Question 6.
Find the 13th term in the expansion of 
Solution.
Find the middle terms in the expansions of
Ex 8.2 Class 11 Maths Question 7.
Solution.
As the exponent 7 is odd, so there will be two middle terms in the expansion
Ex 8.2 Class 11 Maths Question 8.
Solution.
Ex 8.2 Class 11 Maths Question 9.
In the expansion of (1 + a)m+n, prove that coefficients of am and an are equal.
Solution.
Ex 8.2 Class 11 Maths 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.
Solution.
Ex 8.2 Class 11 Maths 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.
Solution.
Ex 8.2 Class 11 Maths Question 12.
Find a positive value of m for which the coefficient of x2 in the expansion (1 + x)m is 6.
Solution.
We hope the NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2 help you. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2, drop a comment below and we will get back to you at the earliest.