NCERT Solutions For Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2
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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 8.2 |
| Number of Questions Solved | 12 |
NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2
NCERT TEXTBOOK EXERCISES
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 ${ \left( 9x-\frac { 1 }{ 3\sqrt { x } } \right) }^{ 18 }$, x ≠ 0
Solution.
Find the middle terms in the expansions of
Ex 8.2 Class 11 Maths Question 7.
${ \left( 3-\frac { { x }^{ 3 } }{ 6 } \right) }^{ 7 }$
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.
${ \left( \frac { x }{ 3 } +9y \right) }^{ 10 }$
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.
NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Exercise 8.2 PDF
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