Let $\alpha 0,\beta 0$ be such that ${\alpha }^{3}+{\beta }^{2}=4$ . If the maximum value of the term independent of $x$ in the binomial expansion of ${\left(\alpha {x}^{1/9}+\beta {x}^{-1/6}\right)}^{10}$ is $10k$, then $k$ is equal to: [JEE Main 2020, 2 Sep (Shift 1)]

Question

Let $\alpha >0,\beta >0$ be such that ${\alpha }^{3}+{\beta }^{2}=4$ . If the maximum value of the term independent of $x$ in the binomial expansion of ${\left(\alpha {x}^{1/9}+\beta {x}^{-1/6}\right)}^{10}$ is $10k$, then $k$ is equal to: [JEE Main 2020, 2 Sep (Shift 1)]

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

Let \(\alpha >0,\beta >0\) be such that \({\alpha }^{3}+{\beta }^{2}=4\) . If the maximum value of the term independent …

Practice more JEE Maths PYQs