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Complex Numbers...

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  • Question 1
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    If   then |α| is equal to : 

  • Question 2
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    If z = x + iy ; x, y  ∈ R then :

  • Question 3
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    The smallest positive integer n for which  

  • Question 4
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  • Question 5
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    If the cube roots of unity are 1, ω,ω2 , then roots of the equation  (x −1)3 +8 = 0 are :

  • Question 6
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    Arg. (x) , x  ∈ R and x  < 0 is

  • Question 7
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    The number of solutions of the equation  Im (z2 ) = 0,|z| = 2 is

  • Question 8
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    Amp. (z −2 −3i) = π/4 then locus of z is

  • Question 9
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    If  z1 and z2   are non real complex numbers such that  |z1 | = |z2 | and Arg(z1 )+Arg(z2 )= π, then z1 =

  • Question 10
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    The complex numbers sinx + i cos2x and cosx –i sin2x are conjugate to each other, for

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