MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 37

MEDIUM

11th CBSE

IMPORTANT

Earn 100

If $p$ is a real number and if the middle term in the expansion of ${(\frac{p}{2} + 2)}^{8}$ is $1120$ , find $p$ .

Important Questions on Binomial Theorem

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 38

Find

n

in the binomial

{(\sqrt[3]{2} + \frac{1}{\sqrt[3]{3}})}^{n}

, if the ratio of

7^{t h}

term from the beginning to the

7^{t h}

term from the end is

\frac{1}{6}

.

HARD

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 39

If the seventh term from the beginning and end in the binomial expansion of

{(\sqrt[3]{2} + \frac{1}{\sqrt[3]{3}})}^{n}

are equal, find

n

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 1

Write the number of terms (only numerical value) in the expansion of $(2 + \sqrt{3} x)^{10} + (2 - \sqrt{3} x)^{10}$ .

EASY

11th CBSE

IMPORTANT

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

Write the sum of the coefficients in the expansion of

{(1 - 3 x + x^{2})}^{111}

.

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

.