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Binomial Theorem

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021 S2
If the co-efficient of $x^7$ and $x^8$ in the expansion of $\left(2+\frac{x}{3}\right)^n$ are equal, then the value of $n$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let $n \in N$ and $[x]$ denote the greatest integer less than or equal to $x$. If the sum of ( $n+1$ ) terms $...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If the fourth term in the binomial expansion of $\left(\sqrt{\frac{1}{x^{1+\log _{10} x}}}+x^{\frac{1}{12}}\right)^6$ is equal to 200 , and $x>1$, then the value of $x$ is
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If the coefficients of $x^7$ in $\left(x^2+\frac{1}{b x}\right)^{11}$ and $x^{-7}$ in $\left(x-\frac{1}{b x^2}\right)^{11}, b \neq 0$, are equal, then the value of $b$ is equal...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The lowest integer which is greater than $\left(1+\frac{1}{10^{100}}\right)^{10^{100}}$ is
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If the greatest value of the term independent of ' $x$ ' in the expansion of $\left(x \sin \alpha+a \frac{\cos \alpha}{x}\right)^{10}$ is, $\frac{10!}{(5!)^2}$, then the...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The sum of all those terms which are rational numbers in the expansion of $\left(2^{1 / 3}+3^{1 / 4}\right)^{12}$ is:
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Q JEE MAIN 2021
The number of rational terms in the binomial expansion of $\left(4^{\frac{1}{4}}+5^{\frac{1}{6}}\right)^{120}$
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Q JEE MAIN 2021
The coefficien of $x^{256}$ in the expansion of $(1-x)^{101}\left(x^2+x+1\right)^{100}$ is :
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Q JEE-MAIN 2021
Let the coefficients of third, fourth and fifth terms in the expansion of $\left(x+\frac{a}{x^2}\right)^n, x \neq 0$ be in the ratio $12: 8: 3$. Then...
JEE Main Mathematics Easy
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