Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 18

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Coefficient of $x^{12}$ in the expansion of ${(1 + x^{2})}^{50}$ ${(x + \frac{1}{x})}^{- 10}$ is

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Important Questions on Binomial Theorem

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 19

The term independent of

x

in the expansion of

{(\sqrt[6]{x} - \frac{2}{\sqrt[3]{x}})}^{18}

is

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 20

(1.003)^{4}

is nearly equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 21

The two consecutive terms in the expansion of

(3 + 2 x)^{74}

which have equal coefficients, are

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 22

The co-efficient of

r^{t h}, {(r + 1)}^{t h}

and

(r + 2)^{t h}

terms in the expansion of

(1 + x)^{14}

are in

A . P .,

the value of

r

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 23

Given positive integers

r > 1, n > 2

and the coefficients of

(3 r)^{t h}

and

(r + 2)^{t h}

term in the expansion of

(1 + x)^{2 n}

are equal, then, which of the following relation is correct?

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 24

The coefficient of

x^{5}

in the expansion of

{(1 + x^{2})}^{5} (1 + x)^{4}

is

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 25

If in the expansion of

(1 + x)^{n}

, fifth term is

4

times the fourth term and fourth term is

6

times the third term, then the value of

n

and

x

is

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 26

The number of terms in the expansion of

{(4 x^{2} + 9 y^{2} + 12 x y)}^{6}

is