Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 12

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If in the expansion of $(1 + p x)^{q}, q \in N$ , the coefficients of $x$ and $x^{2}$ are $12$ and $60$ respectively, then $p$ and $q$ are

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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 13

The expansion of

{(x^{α} + \frac{1}{x^{β}})}^{n}

has constant term, if

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 14

The number of rational terms in the expansion of

{(\sqrt[3]{25} + \frac{1}{\sqrt[3]{25}})}^{20}

is

MEDIUM

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 15

If in the expansion of

(1 + k x)^{4}

the coefficient of

x^{3}

is

32

, then the value of

k

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 16

In the expansion of

(x + a)^{5}, T_{2} : T_{3} = 1 : 3

, then

x : a

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 17

If in the expansion of

{(a x^{2} + \frac{1}{b x})}^{11}

the coefficient of

x^{7}

is equal to the coefficient of

x^{- 7}

in the expansion of

{(a x - \frac{1}{b x^{2}})}^{11}

, then

a b

is equal to

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

Coefficient of

x^{12}

in the expansion of

{(1 + x^{2})}^{50}

{(x + \frac{1}{x})}^{- 10}

is

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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