NCERT Solutions For Class 11 Maths Chapter 8 Binomial Theorem Ex 8.1
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Textbook | NCERT |
Board | CBSE |
Category | NCERT Solutions |
Class | Class 11 |
Subject | Maths |
Chapter | Chapter 8 |
Exercise | Class 11 Maths Chapter 8 Binomial Theorem Exercise 8.1 |
Number of Questions Solved | 14 |

NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.1
NCERT TEXTBOOK EXERCISES
Ex 8.1 Class 11 Maths Question 1.
(1−2x)5
Solution.

Ex 8.1 Class 11 Maths Question 2.
${ \left( \frac { 2 }{ x } -\frac { x }{ 2 } \right) }^{ 5 }$
Solution.

Ex 8.1 Class 11 Maths Question 3.
(2x−3)6
Solution.

Ex 8.1 Class 11 Maths Question 4.
${ \left( \frac { x }{ 3 } +\frac { 1 }{ x } \right) }^{ 5 }$
Solution.

Ex 8.1 Class 11 Maths Question 5.
${ \left( x+\frac { 1 }{ x } \right) }^{ 6 }$
Solution.

Using binomial theorem, evaluate each of the following
Ex 8.1 Class 11 Maths Question 6.
(96)3
Solution.

Ex 8.1 Class 11 Maths Question 7.
(102)5
Solution.

Ex 8.1 Class 11 Maths Question 8.
(101)4
Solution.

Ex 8.1 Class 11 Maths Question 9.
(99)5
Solution.

Ex 8.1 Class 11 Maths Question 10.
Using Binomial Theorem, indicate which number is larger(1.1)10000 or 1000.
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 ${ \left( a+b \right) }^{ 4 }-{ \left( a-b \right) }^{ 4 }$. Hence, evaluate ${ \left( \sqrt { 3 } +\sqrt { 2 } \right) }^{ 4 }-{ \left( \sqrt { 3 } -\sqrt { 2 } \right) }^{ 4 }$.
Solution.
By binomial theorem, we have

Ex 8.1 Class 11 Maths Question 12.
Find ${ \left( x+1 \right) }^{ 6 }+{ \left( x-1 \right) }^{ 6 }$. Hence or otherwise evaluate ${ \left( \sqrt { 2 } +1 \right) }^{ 6 }+{ \left( \sqrt { 2 } -1 \right) }^{ 6 }$.
Solution.
By using binomial theorem, we have

Ex 8.1 Class 11 Maths Question 13.
Show that ${ 9 }^{ n+1 }-8n-9$ is divisible by 64, whenever n is a positive integer.
Solution.
We have to prove that ${ 9 }^{ n+1 }-8n-9=64k$

Ex 8.1 Class 11 Maths Question 14.
Prove that $\sum _{ r=0 }^{ n }{ { 3 }^{ r } }$ 8Cr = 4n
Solution.
We have,

NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Exercise 8.1 PDF
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