NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2

# NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2

## NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2

NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2 are the part of NCERT Solutions for Class 11 Maths. Here you can find the NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2.

### 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.

Find the coefficient of ab7 in (a – 2b)12.

Solution.
Suppose ab7 occurs in the (r + 1)th term of the expansion (a – 2b)12.

Write the general term in the expansion of:

(x– y)6

Solution.

(x– 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 (9x 1/3x)18, x ≠ 0.

Solution.

Find the middle terms in the expansions of

### Ex 8.2 Class 11 Maths Question 7.

(3 x3/6)7

Solution.
As the exponent 7 is odd, so there will be two middle terms in the expansion

(x/3 + 9y)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.

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