MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 31

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IMPORTANT

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If the coefficients of three consecutive terms in the expansion of ${(1 + x)}^{n}$ be $76$ , $95$ and $76$ , find $n$ .

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Important Questions on Binomial Theorem

HARD

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 32

If the

6 t h

,

7 th

and

8 t h

terms in the expansion of

{(x + a)}^{n}

are respectively

112

,

7

and

1 / 4

, find

x

,

a

,

n

..

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 33

If the

2 n d, 3 r d

and

4 t h

terms in the expansion of

{(x + a)}^{n}

are

240, 720

and

1080

respectively,
find

x, a, n

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 34

Find

a, b

and

n

in the expansion of

{(a + b)}^{n}

, if the first three terms in the expansion are

729, 7290

and

30375

respectively.

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 35

If the term free from

x

in the expansion of

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

is

405

, find the value of

k

.

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.2>Q 36

The sixth term in the expansion of

{(y^{1 / 2} + x^{1 / 3})}^{n}

is

k y^{\frac{5}{2}} x^{\frac{5}{3}}

, where the binomial coefficient of the third term from the end is

45

. Hence, find the value of

k

.

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IMPORTANT

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

If

p

is a real number and if the middle term in the expansion of

{(\frac{p}{2} + 2)}^{8}

is

1120

, find

p

.

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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}

.

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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

.