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Test: Binomial Theorem- 2 - Question 1

The coefficient of second, third and fourth terms in the binomial expansion of (1+x)^{n}(‘n’, a + ve integer) are in A.P.., if n is equal to

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Test: Binomial Theorem- 2 - Question 3

The coefficient of x^{17} in the expansion of (x- 1) (x- 2) …..(x – 18) is

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Test: Binomial Theorem- 2 - Question 4

If the coefficients of (r +1)th term and (r + 3)th term in the expansion of (1+x)^{2n} be equal then

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Test: Binomial Theorem- 2 - Question 6

The greatest coefficient in the expansion of (1+x)^{12} is

Test: Binomial Theorem- 2 - Question 7

In the expansion of (1+x)^{60}, the sum of coefficients of odd powers of x is

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Test: Binomial Theorem- 2 - Question 8

Let n ∈ Q an n ∉ N,n ≠ 0, a > 0, then the expansion of (a+x)^{n} in powers of x is valid if

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Test: Binomial Theorem- 2 - Question 11

The coefficient of x^{99} in (x+1)(x+3)(x+5)………..(x+199) is

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Test: Binomial Theorem- 2 - Question 12

If the expansion of in powers of x contains the term x^{2r}, then n−2r is

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Test: Binomial Theorem- 2 - Question 14

If rth ,(r+1)th and (r+2)th terms in the expansion of (1+x)^{n} are in A.P. then

Test: Binomial Theorem- 2 - Question 15

Coefficient of a^{2}b^{5} in the expansion of (a+b)^{3}(a−2b)^{4} is

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Test: Binomial Theorem- 2 - Question 16

In the expansion of(1+x)^{11}, the 5^{th} term is 24 times the 3^{rd} term . The value of x is

Test: Binomial Theorem- 2 - Question 17

The sum of coefficients in the expansion of (x+2y+z)^{n} is (n being a positive integer)

Test: Binomial Theorem- 2 - Question 18

If the rth term in the expansion of contains x^{4} then r is equal to

Test: Binomial Theorem- 2 - Question 20

The 1st three terms in the expansion of (4 + x)^{3/2} are

Test: Binomial Theorem- 2 - Question 21

The coefficients of x^{n} in the expansion of (1+2x + 3x^{2} + ........)^{1/2} is

Test: Binomial Theorem- 2 - Question 23

The index of the power of x that occurs in the 7^{th} term from the end in the expansion of

Test: Binomial Theorem- 2 - Question 24

The index of the power of x that occurs in the 6^{th} term in the expansion of

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Test: Binomial Theorem- 2 - Question 25

If in the expansion of(1+x)^{43}, the coefficients of (2r+1)th and (r+2)th terms are equal, then r is equal to

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