**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 x^{5}in (x + 3)

^{8}.

**Solution.**

Suppose x^{5} 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 a^{5 }b

^{7 }in (a – 2b)

^{12}.

**Solution.**

Suppose a^{5 }b^{7} 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.**

(x**Ex 8.2 Class 11 Maths Question 3.**

^{2 }– y)

^{6}

**Solution.**

**Ex 8.2 Class 11
Maths Question 4.**

(x^{2 }– yx)

^{12}, x ≠ 0

**Solution.**

We have, (x^{2} – yx)^{12} = (x^{2} +
(-yx))^{12}, x ≠ 0

**Ex 8.2 Class 11
Maths Question 5.**

Find the 4^{th}term in the expansion of (x – 2y)

^{12}.

**Solution.**

**Ex 8.2 Class 11 Maths Question 6.**

Find the 13^{th}term in the expansion of (9x – 1/3√x)

^{18}, x ≠ 0.

**Solution.**

**Find the middle terms in the expansions of
**

**Ex
8.2 Class 11 Maths Question 7.**

(3 −x**Ex 8.2 Class 11 Maths Question 7.**

^{3}/6)

^{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.**

(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 a

^{m}and a

^{n}are equal.

**Solution.**

**Ex 8.2 Class 11
Maths Question 10.**

The coefficients of the (r – 1)^{th}, r

^{th}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 x^{n}in the expansion of (1 + x)

^{2n}is twice the coefficient of x

^{n}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 x^{2}in the expansion (1 + x)

^{m}is 6.

**Solution.**

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