Mathematics Crash Course JEE Main>Chapter 3 - Binomial Theorem>Level 3>Q 15

HARD

JEE Main

IMPORTANT

Earn 100

In the binomial expansion of $(1 + x)^{2 k},$ if its middle term is the only numerically greatest term, then $x$ lies in the interval

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Important Questions on Binomial Theorem

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 3 - Binomial Theorem>Level 3>Q 16

For

x > 0,

if

p^{th}

term is the first negative term in the expansion of

{(1 + \frac{3 x}{5})}^{22 / 3}

and in the expansion of

{(1 - \frac{3 x}{5})}^{22 / 3}

from

r^{t h}

term onwards all the terms are positive, then the number of terms in the expansion of

{(p x + \frac{r}{x})}^{p r}

is

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 3 - Binomial Theorem>Level 3>Q 17

If

{(2 x^{2} + 3 x + 4)}^{10} = \sum_{r = 0}^{20} a_{r} x^{r}

, then the value of

\frac{a_{7}}{a_{13}}

is