MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 2

EASY

11th CBSE

IMPORTANT

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Write the sum of the coefficients in the expansion of ${(1 - 3 x + x^{2})}^{111}$ .

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Important Questions on Binomial Theorem

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 3

Write the number of terms in the expansion of

{(1 - 3 x + 3 x^{2} - x^{3})}^{8}

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 4

Write the middle term in the expansion of

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

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 5

Which term is independent of

x

, in the expansion of

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

?

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 6

If

a

and

b

denote respectively the coefficients of

x^{m}

and

x^{n}

in the expansion of

(1 + x)^{m + n}

then write the relation between

a

and

b

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 7

If

a

and

b

are coefficients of

x^{n}

in the expansions of

(1 + x)^{2 n}

and

(1 + x)^{2 n - 1}

respectively, then write the relation between

a

and

b

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 8

If the middle term in the expansion of

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

is

{}^{a}C_{b}

then find the value of

a + b

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 9

If

a

and

b

denote the sum of the coefficients in the expansions of

{(1 - 3 x + 10 x^{2})}^{n}

and

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

respectively, then write the relation between

a

and

b

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 10

If the coefficient of the middle term in the expansion of

(1 + x)^{2 n}

is

^{p} C_{q}

, then find the value of

\frac{p}{q}

.