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If n gt 1 is an integer and x ne 0 , the...

If `n gt 1` is an integer and `x ne 0` , then `(1+x)^(n)-nx-1` is divisible by:

A

`nx^(3)`

B

`n^(3)x`

C

`x`

D

`nx`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. The number (101)^(100)-1 is divisible by:

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  2. If A and B are coefficients of x^(n) in the expansions of (1+x)^(2n) ...

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  3. If n gt 1 is an integer and x ne 0 , then (1+x)^(n)-nx-1 is divisible...

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  4. If ""^(n)C(4), ""^(n)C(5) and "'^(n)C(6) are in A.P., then n is:

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  5. The number of diagonals in a polygon is 20. The number of sides of the...

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  6. ""^(15)C(3) + ""^(15)C(5) + ……… +""^(15)C(15) =

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  7. Let a, b, c be three real numbers such that a + 2b + 4c = 0. Then the ...

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  8. If the ratio of the roots of the equation px^(2) + qx + r=0 is a:b, th...

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  9. If alpha and beta are the roots of the equation x^2 + x + 1=0 , then...

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  10. For the real parameter t, the locus of the complex number: z=(1-t^(2...

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  11. If x + 1/x = 2cos theta, then for any integer n, x^(n) + 1/x^(n) =

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  12. If omega ne 1 is a cube root of unity, then the sum of the series S...

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  13. If log(3)x + log(3)y =2 + log(3)2 and log(3)(x+y) =2, then

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  14. If log(7)2 = lambda, then the value of log(49) (28) is:

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  15. The sequence log a, log (a^(2)/b), log (a^(3)/b^(2)) is:

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  16. If in a triangle ABC, sin A, sin B, sin C are in A.P, then

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  17. |{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}|=

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  18. The area enclosed between y^(2) = x and y=x is:

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  19. Let f(x) = x^(3) e^(-3x) , x gt 0. Then the maximum value of f(x) is:

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  20. The area bounded by y^(2) = 4x and x^(2) = 4y is:

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