WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 33

EASY

11th West Bengal Board

IMPORTANT

Earn 100

The number of terms in the expansion of $(1 + 3 \sqrt{2} x)^{9} + (1 - 3 \sqrt{2} x)^{9}$ is

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Important Questions on Binomial Theorem

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 34

If the coefficients of the second, third and fourth terms in the expansion of

(1 + x)^{n}

are in

AP

, then

n =

?

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 35

If

p

and

q

are positive integers, then the coefficients of

x^{p}

and

x^{q}

in the expansion of

(1 + x)^{p + q}

are

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 36

Let the coefficient of

x^{n}

in the expansion of

(1 + x)^{2 n}

be

p

and the coefficient of

x^{n}

in the expansion of

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

be

q

, then

HARD

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 37

In the expansion of

{(1 + x)}^{n}

, the binomial coefficients of three consecutive terms are respectively

220, 495

and

792

. The value of

n

is

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 38

If the coefficients of

x^{7}

and

x^{8}

are equal in the expansion of

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

, then

n =

?

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 39

Total number of terms in the expansion of

(a + b + c)^{n}

is

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 40

Total number of terms in the expansion of

(a + b + c)^{10}

is

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 41

If the total number of terms in the expansion of

(a - b + 2 c)^{n}

is

45,

then

n =

?