1

JEE Main 2024 (Online) 5th April Evening Shift

MCQ (Single Correct Answer)

+4

-1

If the constant term in the expansion of $$\left(\frac{\sqrt[5]{3}}{x}+\frac{2 x}{\sqrt[3]{5}}\right)^{12}, x \neq 0$$, is $$\alpha \times 2^8 \times \sqrt[5]{3}$$, then $$25 \alpha$$ is equal to :

2

JEE Main 2024 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

+4

-1

If the coefficients of $$x^4, x^5$$ and $$x^6$$ in the expansion of $$(1+x)^n$$ are in the arithmetic progression, then the maximum value of $$n$$ is:

3

JEE Main 2024 (Online) 4th April Morning Shift

MCQ (Single Correct Answer)

+4

-1

The sum of all rational terms in the expansion of $$\left(2^{\frac{1}{5}}+5^{\frac{1}{3}}\right)^{15}$$ is equal to :

4

JEE Main 2024 (Online) 1st February Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let $m$ and $n$ be the coefficients of seventh and thirteenth terms respectively

in the expansion of $\left(\frac{1}{3} x^{\frac{1}{3}}+\frac{1}{2 x^{\frac{2}{3}}}\right)^{18}$. Then $\left(\frac{\mathrm{n}}{\mathrm{m}}\right)^{\frac{1}{3}}$ is :

in the expansion of $\left(\frac{1}{3} x^{\frac{1}{3}}+\frac{1}{2 x^{\frac{2}{3}}}\right)^{18}$. Then $\left(\frac{\mathrm{n}}{\mathrm{m}}\right)^{\frac{1}{3}}$ is :

Questions Asked from Binomial Theorem (MCQ (Single Correct Answer))

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