New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Binomial Theorem question

2021 · 25 Jul · Shift 1 · Q41

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

PYQ Library
JEE Main
Mathematics
Binomial Theorem
2021 · 25 Jul · Shift 1 · Q41

Binomial Theorem question

2021 · 25 Jul · Shift 1 · Q41

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

The ratio of the coefficient of the middle term in the expansion of (1 + x)20 and the sum of the coefficients of two middle terms in expansion of (1 + x)19 is

\underline{\hspace{2cm}}

.

Numerical answer

More from Binomial Theorem

The term independent of 'x' in the expansion of $(\frac{x + 1}{x ^{2/3} - x ^{1/3} + 1} - \frac{x - 1}{x - x ^{1/2}})^{10}$ , where x $e$ 0, 1 is equal to .2021 · Numerical
The sum of all those terms which are rational numbers in the expansion of (21/3 + 31/4)12 is :2021 · MCQ
If the greatest value of the term independent of 'x' in the expansion of $(x sin α + a \frac{c o s α}{x})^{10}$ is $\frac{10 !}{( 5 !) ^{2}}$ , then the value of 'a' is equal to :2021 · MCQ
The lowest integer which is greater than $(1 + \frac{1}{10 ^{100}})^{10^{100}}$ is .2021 · MCQ
If the co-efficient of x7 and x8 in the expansion of $(2 + \frac{x}{3})^{n}$ are equal, then the value of n is equal to .2021 · Numerical
The maximum value of the term independent of 't' in the expansion of $(t x^{\frac{1}{5}} + \frac{( 1 - x ) ^{\frac{1}{10}}}{t})^{10}$ where x $\in$ (0, 1) is :2021 · MCQ
3 $\times$ 722 + 2 $\times$ 1022 $-$ 44 when divided by 18 leaves the remainder .2021 · Numerical
If the coefficients of x7 in $(x^{2} + \frac{1}{b x})^{11}$ and x $-$ 7 in $(x - \frac{1}{b x ^{2}})^{11}$ , b $e$ 0, are equal, then the value of b is equal to :2021 · MCQ