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

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The number of terms in the expansion of ${(4 x^{2} + 9 y^{2} + 12 x y)}^{6}$ 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 27

In the binomial expansion of

{(a - b)}^{n}, n \geq 5,

the sum of

5^{th}

and

6^{th}

terms is zero, then

\frac{a}{b}

equals

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 28

The sum of the binomial coefficient of

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

is equal to

256

. The constant term in the expansion is

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 29

If coefficients of

2^{nd}, 3^{rd}

and

4^{th}

terms in the expansion of

(1 + x)^{2 n}

are in AP, then

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 30

\sum_{r = 0}^{n - 1} \frac{{}^{n}C_{r}}{{}^{n}C_{r} + {}^{n}C_{r + 1}}

equals

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 31

The greatest term in the expansion of

(3 - 5 x)^{15}

, when

x = \frac{1}{5}

, is

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 32

In the expansion of

{(y^{1 / 5} + x^{1 / 10})}^{55}

, the number of terms free of radical sign are

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 33

The term independent of

x

in

(1 + x + 2 x^{3}) {(\frac{3 x^{2}}{2} - \frac{1}{3 x})}^{9}

is

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Gamma Question Bank for Engineering Mathematics>Chapter 6 - Binomial Theorem>Assignment>Q 34

Find the coefficient of

x^{3}

in the expansion of

(1 + x + 2 x^{2}) {(2 x^{2} - \frac{1}{3 x})}^{9}

.