In the expansion of ${\left( {3x - \frac{1}{{{x^2}}}} \right)^{10}}$ then $5^{th}$ term from the end is :-

  • A

    $\frac{{17010}}{{{x^6}}}$

  • B

    $\frac{{17010}}{{{x^9}}}$

  • C

    $\frac{{17010}}{{{x^8}}}$

  • D

    $\frac{{17010}}{{{x^{-1}}}}$

Similar Questions

If the coefficient of ${x^7}$ in ${\left( {a{x^2} + \frac{1}{{bx}}} \right)^{11}}$ is equal to the coefficient of ${x^{ - 7}}$ in ${\left( {ax - \frac{1}{{b{x^2}}}} \right)^{11}}$, then $ab =$

  • [AIEEE 2005]

The ratio of the coefficient of terms ${x^{n - r}}{a^r}$and ${x^r}{a^{n - r}}$ in the binomial expansion of ${(x + a)^n}$ will be

The middle term in the expansion of ${\left( {x + \frac{1}{{2x}}} \right)^{2n}}$, is

Find the cocfficient of $x^{5}$ in $(x+3)^{8}$

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 :

  • [JEE MAIN 2024]