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If alpha , beta , gamma are cube roots ...

If ` alpha , beta , gamma` are cube roots of p lt 0, then for any x , y,z `(alpha^(2),x^(2),+beta^(2)y^(2)+gamma^(2)z^(2))/(beta^(2)x^(2) + gamma^(2)y^(2) + alpha^(2)z^(2))` is

A

1

B

`(alpha)/(gamma)`

C

`(beta)/(alpha)`

D

`(gamma)/(beta)`

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The correct Answer is:
B, C, D
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
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  2. If alpha, beta, gamma are the cube roots of p, p lt 0 then for an...

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  3. If alpha , beta , gamma are cube roots of p lt 0, then for any x , y,...

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  4. The value |(1 + omega,omega^(2),-omega),(1 + omega^(2),omega,-omega^(...

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  5. If omega is imaginary cube root of unity then Delta = |(1,1 + i ...

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  6. |(6i,-3i,1),(4,3i,-1),(20,3,i)| = x + iy then (x,y) is

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  7. If alpha is a root of x^(4) - 1 = 0 with negative principal argum...

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  8. If omega be complex cube root of unity satisfying the equation (1 )/...

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  9. If 1 , omega, omega^(2), . . . omega^(n - 1) are the n, nth roots of ...

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  10. If alpha is an n th root of unity other than unity itself, then the ...

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  11. If omega is an imaginary fifth root of unity, then find the value of l...

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  12. The product of all n^(th) root of unity is always

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  13. The roots of the cubic equation (z + ab)^(3) = a ^(3) , a ne 0 represe...

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  14. If If 1, alpha(1), alpha(2), alpha(3) , . . . alpha(n - 1) are the n...

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  15. If beta ne 1 be any nth root of unity, then 1 + 3 beta + 5 beta ^...

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  16. If 1,alpha,alpha^(2),……….,alpha^(n-1) are n^(th) root of unity, the va...

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  17. If p is a multiple of n , then the sum of pth powers of nth roots of u...

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  18. If p is not a multiple of n, then the sum of pth powers of nth root...

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  19. If alpha (1), alpha(2), . . . alpha (100) are all the 100 th roots of...

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  20. If z = ( sqrt(3) + i)/( 2) then ( z^(101) + i ^(103))^(105) equals

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