R D Sharma Solutions for Chapter: Binomial Theorem, Exercise 4: MULTIPLE CHOICE QUESTIONS (MCQs)

The coefficient of $x^8{y}^{10}$ in the expansion of $(x+y{)}^{18}$ is

If the coefficients of the $(n+1{)}^{th}$ term and the $(n+3{)}^{th}$ term in the expansion of $(1+x{)}^{20}$ are equal, then the value of $n$ is

If the coefficiénts of $2\mathrm{nd}$, $3\mathrm{rd}$ and $4\mathrm{th}$ terms in the expansion of $(1+x{)}^n, n\in N$ are in $\mathrm{A}.\mathrm{P}.$, then $\mathrm{n}=$

The middle term in the expansion of ${\left(\frac{2x}{3}-\frac{3}{2x^2}\right)}^{2n}$ is

If $r^{th}$ term is the middle term in the expansion of  ${\left(x^2-\frac{1}{2x}\right)}^{20}$ then $(r+3{)}^{th}$ term is

The number of terms with integral coefficients in the expansion of ${\left({17}^{1/3}+{35}^{1/2}x\right)}^{600}$ is

Constant term in the expansion of ${\left(x-\frac{1}{x}\right)}^{10}$ is

If the coefficients of $x^2$ and $x^3$ in the expansion of $(3+ax{)}^9$are the same, then the value of $a$