Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 35

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

The term independent of $x$ in the expansion of ${(1 - x)}^{2} {(x + \frac{1}{x})}^{10}$ is

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Important Questions on Binomial Theorem

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 36

The term independent of

x

in the expansion of

{(1 + x)}^{n} \cdot {(1 - \frac{1}{x})}^{n}

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 37

The term independent of

x

in the expansion of

{(1 + x)}^{n} {(1 + \frac{1}{x})}^{n}

is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 38

{(\sqrt[6]{3} \sqrt{2} + \frac{1}{\sqrt[3]{3}})}^{n}, \frac{t_{7} from the 1 st}{t_{7} from the last} = \frac{1}{6}, n

is equal to

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 39

If sum of middle terms in the expansion of

{(2 a - \frac{a^{2}}{4})}^{9}

is

S

, then the value of

S

is:

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 40

If the

r^{th}

term is the middle term in the expansion of

{(x^{2} - \frac{1}{2 x})}^{20},

then the

{(r + 3)}^{th}

term is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 41

In the expansion of

{(\sqrt[3]{4} + \frac{1}{\sqrt[4]{6}})}^{20}

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 42

If

n

is an integer between

0

and

21,

then the minimum value of

n! (21 - n)!

is attained for

n,

is equal to

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 8 - Binomial Theorem>Target Exercises>Q 43

If the middle term in the expansion of

{(x^{2} + \frac{1}{x})}^{n}

is

924 x^{6},

then

n

is equal to