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If one of the cube roots of 1 be omega, ...

If one of the cube roots of 1 be `omega`, then
`|{:(1, 1+omega^(2), omega^(2)),(1-i, -1, omega^(2)-1),(-i, -1+omega, -1):}|=`

A

`omega`

B

1

C

-1

D

0

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. The general solution of the differential equation log(e) ((dy)/(dx)) =...

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  2. If y=A/x + Bx^(2), then x^(2) (d^(2)y)/(dx^(2)) =

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  3. If one of the cube roots of 1 be omega, then |{:(1, 1+omega^(2), ome...

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  4. 4 boys and 2 girls occupy seats in a row at random. Then the probabili...

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  5. A coin is tossed again and again. If tail appears on first three tosse...

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  6. The coefficient of x^(n) in the expansion of (e^(7x) + e^(x))/e^(3x) i...

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  7. The sum of the series: 1/(1.2) -1/(2.3) +1/(3.4)-1/(4.5)………. infty i...

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  8. The number (101)^(100)-1 is divisible by:

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

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

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

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

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

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

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

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

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

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

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

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

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