Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

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11th Maharashtra Board

IMPORTANT

Earn 100

The total number of terms in the expression of $(x + y)^{100} + (x - y)^{100}$ after simplification is :

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Important Questions on Method of Induction and Binomial Theorem

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

The middle term in the expansion of $(1 + x)^{2 n}$ will be :

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

In the expansion of

{(x^{2} - 2 x)}^{10},

the coefficient of

x^{16}

is

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

The term not containing

x

in expansion of

(1 - x)^{2} {(x + \frac{1}{x})}^{10}

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

The number of terms in expansion of

(4 y + x)^{8} - (4 y - x)^{8}

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

The value

{}^{14}C_{1} + {}^{14}C_{3} + {}^{14}C_{5} + \dots \dots + {}^{14}C_{11} is

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

The value

{}^{11}C_{2} + {}^{11}C_{4} + {}^{11}C_{6} + {}^{11}C_{8}

is equal to

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

In the expansion of

(3 x + 2)^{4}

the coefficient of middle term is

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 2>Chapter 4 - Method of Induction and Binomial Theorem>MISCELLANEOUS EXERCISE>Q (I)

The coefficient of the

8^{t h}

term in the expansion of

(1 + x)^{10}

is