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

MEDIUM

11th West Bengal Board

IMPORTANT

Earn 100

If the coefficients of $x^{7}$ and $x^{8}$ are equal in the expansion of ${(2 + \frac{x}{3})}^{n}$ , then $n =$ ?

50% studentsanswered this correctly

Important Questions on Binomial Theorem

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 =

?

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

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 45

If

C

denotes

{}^{n}C_{r}

in the expansion of

(1 + x)^{n},

then

C_{0} + C_{1} + C_{2} + \dots + C_{n} = ?

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 31 - Binomial Theorem>EXERCISE 1>Q 46

(C_{0} + C_{2} + C_{4} + C_{6} + \dots) = ?