## myCBSEguide App

CBSE, NCERT, JEE Main, NEET-UG, NDA, Exam Papers, Question Bank, NCERT Solutions, Exemplars, Revision Notes, Free Videos, MCQ Tests & more.

Install Now

**Exercise 8.2**

**Find the coefficient of:**

**1. **** in **

**Ans. **General form of the expansion is ………(i)

Putting in eq. (i),

Therefore, coefficient of on the expansion is = 1512.

**2. **** in **

**Ans. **General form of the expansion is ………(i)

Putting in eq. (i),

Therefore, coefficient of on the expansion is =

**Write the general term in the expansion of**

**3. **

**Ans. **General form of the expansion is

**4. **

**Ans. **General form of the expansion is

**5. Find the 4 ^{th} term in the expansion of **

**Ans. **General form of the expansion is

Putting

= =

**6. Find the 13 ^{th} term in the expansion of **

**Ans. **General form of the expansion is …..(i)

Putting

= = = 18564

**Find the middle terms in the expansion of:**

**7. **

**Ans. **Here which is an odd number.

Therefore, the middle terms are and are 4^{th} and 5^{th} terms.

General form of the expansion is …..(i)

Putting and in eq. (i),

=

= =

=

= =

**8. **

**Ans. **Here which is an even number.

Therefore, the middle terms are is 6^{th} term.

General form of the expansion is …..(i)

Putting in eq. (i),

=

=

=

**9. In the expansion of **** prove that coefficients of **** and **** are equal.**

**Ans. **Coefficient of in the expansion of

**10. The coefficients of the **** and **** terms in the expansion of **** are in the ratio 1 : 3 : 5. Find **** and **

**Ans. **Given:

and

and

and

Solving both equations, we have and

**11. Prove that the coefficient of **** in the expansion of **** is twice the coefficient of **** in the expansion of **

**Ans. **Since, Coefficient of in the expansion of is

=

= ……….(i)

Also Coefficient of in the expansion of is ……….(ii)

From eq. (i) and eq. (ii), it is clear that Coefficient of in the expansion of is twice the Coefficient of in the expansion of .

Very Inc

This is very useful and it just cleared my doubts ??

This is very useful and it just cleared my doubts ??

Nice very good

nice ji

i am thankful from this web side because it help me work more easily

Its great

Very nice thanks

Its great

What a website!!!!???