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

EASY

11th West Bengal Board

IMPORTANT

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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

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Important Questions on Binomial Theorem

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

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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 =

?

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 42

The coefficient of

x^{3}

in the expansion of

(1 + 2 x)^{6} (1 - x)^{7}

is

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 43

In the expansion of

(x + a)^{n}

, if the sum of odd terms be

P

and the sum of even terms be

Q

then

4 P Q =

?

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 44

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

(1 + x)^{2 n}

are in

AP

, then