EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2020 Mathematics>Q 1

EASY

NDA & NA EE

IMPORTANT

Earn 100

The term independent of $x$ in the binomial expansion of ${(\frac{2}{x^{2}} - \sqrt{x})}^{10}$ is equal to

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Important Questions on Binomial Theorem

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2020 Mathematics>Q 2

If

{(1 + 2 x - x^{2})}^{6} = a_{0} + a_{1} x + a_{2} x^{2}

+ \dots + a_{12} x^{12},

then what is

a_{0} - a_{1}

+ a_{2} - a_{3} + a_{4} - \dots + a_{12}

equal to?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2020 Mathematics>Q 3

If

C (20, n + 2) = C (20, n - 2),

then what is

n

equal to?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2020 Mathematics>Q 4

What is the sum of the last five coefficients in the expansion of

(1 + x)^{9}

when it is expanded in ascending powers of

x ?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2019 Paper 2 Mathematics>Q 5

How many terms are there in the expansion of

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

MEDIUM

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2019 Paper 2 Mathematics>Q 6

If the middle term in the expansion of

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

is

184756 x^{10},

then what is the value of

n ?

MEDIUM

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2019 Paper 2 Mathematics>Q 7

If the constant term in the expansion of

{(\sqrt{x} - \frac{k}{x^{2}})}^{10}

is

405,

then what can be the values of

k ?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2019 Paper 2 Mathematics>Q 8

What is

C (47, 4) + C (51, 3) + C (50, 3) + C (49, 3) + C (48, 3) + C (47, 3)

equal to?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Binomial Theorem>NDA & NA EE 2019 Paper 1 Mathematics>Q 9

If

C (20, n + 2) = C (20, n - 2),

then what is

n

equal to