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Total number of terms in a Binomial Expansion, General Term of Binomial Expansion, Finding Term in a Binomial Expansion

**NCERT Exercise 8.2**

Find the coefficient of

**Question 1. ** x^5 in (x+3)^8

**Question 2. ** a^5b^7 in (a-2b)^{12}

Write the general term in the expansion of

**Question 3. ** (x^2-y)^6

**Question 4. ** (x^2-yx)^{12}, x \ne 0

**Question 5.** Find the 4^{th} term in the expansion of (x-2y)^{12}.

**Question 6. **Find the 13^{th} term in the expansion of \left ( 9x – \frac{1}{3 \sqrt{x}} \right )^{18}, x \ne 0

**Question 9.** In the expansion of (1+a)^{m+n}, prove that coefficients of *a ^{m}* and

*a*are equal.

^{n}**Question 12.** Find a positive value of *m* for which the coefficient of *x*^{2} in the expansion (1+x)^m is 6.