Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 7

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11th ICSE

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What is the index of the power of $x$ occurring in the $5^{t h}$ term of the expansion of ${(3 x - \frac{2}{x^{2}})}^{9}$ ?

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Important Questions on Binomial Theorem

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 7

What is the index of the power of

x

occurring in the

5^{t h}

term from the end in the expansion of

{(\frac{x^{3}}{2} - \frac{2}{x^{2}})}^{12}

?

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 8

If

(r + 1)^{t h}

term in the expansion of

{(\frac{x}{3} - \frac{2}{x^{2}})}^{10}

contains

x^{- 2},

then find the value of

r

.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 9

Which term in the expansion of

{(x - \frac{2}{x})}^{11}

contains

x^{- 3}

?

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 9

Which term in the expansion of

{(x - \frac{3}{x^{2}})}^{18}

is independent of

x

?

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Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 10

What is the sum of the binomial coefficients in the expansion of

(1 + x)^{50}

?

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 10

What is the sum of the coefficients of odd powers of

x

in the expansion of

(1 + x)^{50}

?

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 11

Find the

11^{t h}

term from the end in the expansion of

{(2 x - \frac{1}{x^{2}})}^{25}

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 9 - Binomial Theorem>EXERCISE 9.2>Q 11

Find

(n + 1)^{t h}

term from the end in the expansion of

{(x - \frac{1}{x})}^{3 n}

.