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If alpha is a complex number such that a...

If `alpha` is a complex number such that `alpha^(2)+alpha+1=0`, then the value of `alpha^(61)` is

A

1

B

`-1`

C

`alpha`

D

`-alpha`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
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  3. The system of equations ax+y+z=0 -x+ay+z=0 -x+ay+z=0 -...

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  4. The positive integer which exactly divides the number (3xx5^(2n+1)+2n^...

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  5. If two events A and B are such that P(A^(c ))=0.3, P(B)=0.4 and P(A nn...

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  6. Amplitude of (1-i)/(1+i) is

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  7. The domain of definition of the function f(x)=sin^(-1)(|x-1|-2) is

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  8. Sum of the last 24 coefficient, in the expansion of (1+x)^(47), when e...

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  9. Let alpha, beta be the roots of x^(2)+(3-lambda)x-lambda=0. The value ...

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  10. The line y=sqrt(3)x bisects the angle between the lines ax^(2)+2axy+y^...

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  11. The eccentricity of an ellipse, the length of whose minor axis is equa...

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  12. The equation of a tangent to the hyperbola x^(2)-2y^(2)=2 parallel to ...

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  13. Let f(x)=x,|x|. The set of points where f (x) is twice differentiable ...

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  14. If f(x+y)=f(x)+f(y) for all real x and y and if f (x) is continuous at...

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  15. If the straight line y=4x-5 touches the curve y^(2)=px^(3)+q at (2, 3)...

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  16. If A and B are square matrices of the same order, then AB = 0 implies

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  17. If the sum of the roots of the equation 2x^(2)+4x+C=0 be equal to the ...

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  18. If in an arithmetic progression, the sum of n terms is equal to the su...

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  19. If f(x)=x(x-1)(x-2), 0 le x le 4, then the point xi which satisfies Me...

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  20. If log(a)x=y, then the value of loga(a/x) is

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