New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Binomial Theorem question

2023 · 31 Jan · Shift 2 · Q39

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 31 Jan · Shift 2 · Q39

Binomial Theorem question

2023 · 31 Jan · Shift 2 · Q39

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

The coefficient of

x^{-6}

, in the expansion of

\left(\frac{4 x}{5}+\frac{5}{2 x^{2}}\right)^{9}

, is

Numerical answer

More from Binomial Theorem

If the constant term in the binomial expansion of $(\frac{x ^{\frac{5}{2}}}{2} - \frac{4}{x ^{l}})^{9}$ is $- 84$ and the coefficient of $x^{- 3 l}$ is $2^{α} β$ , where $β < 0$ is an odd number, then $∣ α l - β ∣$ …2023 · Numerical
The remainder when 32022 is divided by 5 is :2022 · MCQ
The remainder on dividing 1 + 3 + 32 + 33 + ..... + 32021 by 50 is .2022 · Numerical
If the maximum value of the term independent of $t$ in the expansion of $(t^{2} x^{\frac{1}{5}} + \frac{( 1 - x ) ^{\frac{1}{10}}}{t})^{15}, x ⩾ 0$ , is $K$ , then $8 K$ is equal to …2022 · Numerical
The remainder when $(11)^{1011} + (1011)^{11}$ is divided by 9 is2022 · MCQ
If $\frac{1}{2 . 3 ^{10}} + \frac{1}{2 ^{2} . 3 ^{9}} + ..... + \frac{1}{2 ^{10} . 3} = \frac{K}{2 ^{10} . 3 ^{10}}$ , then the remainder when K is divided by 6 is :2022 · MCQ
The coefficient of x101 in the expression $(5 + x)^{500} + x (5 + x)^{499} + x^{2} (5 + x)^{498} + ..... + x^{500}$ , x > 0, is2022 · MCQ
If the sum of the co-efficient of all the positive even powers of x in the binomial expansion of $(2 x^{3} + \frac{3}{x})^{10}$ is $5^{10} - β . 3^{9}$ , then $β$ is equal to .2022 · Numerical