BITSAT · Mathematics
Binomial Theorem
34 practice questions for BITSAT — 26 easy · 8 medium · 0 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
The coefficient of $x^n$ in the expansion of $\frac{e^{7 x}+e^x}{e^{3 x}}$ is
MCQ
The coefficient of $x^2$ term in the binomial expansion of $\left(\frac{1}{3} x^{\frac{1}{2}}+x^{\frac{-1}{4}}\right)^{10}$ is
MCQ
The coefficient of the highest power of $x$ in the expansion of $\left(x+\sqrt{x^2-1}\right)^8+\left(x-\sqrt{x^2-1}\right)^8$
MCQ
If the $17^{\text {th }}$ and the $18^{\text {th }}$ terms in the expansion of $(2+a)^{50}$ are equal, then the coefficient of $x^{35}$ in the expansion of $(a+x)^{-2}$ is
MCQ
If $x^{18}$ occurs in the rth term in the expansion of $\left(x^4+\frac{1}{x^3}\right)^{15}$, then what is the value of $r$ ?
MCQ
The middle term in the expansion of $\left(\frac{10}{x}+\frac{x}{10}\right)^{10}$ is
MCQ
If the sum of the coefficients in the expansion of $(x+y)^n$ is 1024 , then the value of the greatest coefficient in the expansion is
MCQ
The number of terms in the expansion of $(1+5 \sqrt{2} x)^9+(1-5 \sqrt{2} x)^9$, is
MCQ
Coefficient of $x^{13}$ in the expansion of $(1-x)^{5}\left(1+x+x^{2}+x^{3}\right)^{4}$ is
MCQ
The coefficient of the term independent of $x$ in the expansion of $\left(\sqrt{\frac{x}{3}}+\frac{3}{2 x^{2}}\right)^{10}$ is
MCQ
If a, b, c are three natural numbers in AP and a + $\mathrm{b}+\mathrm{c}=21$ then the possible number of values of the ordered triplet $(\mathrm{a}, \mathrm{b}, \mathrm{c})$ is
MCQ
In the expansion of ${(1+x+{x}^{3}+{x}^{4})}^{10}$, the coefficient of ${x}^{4}$ is