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The smallest positive integer n for which
If the cube roots of unity are 1, ω,ω^{2}, then roots of the equation (x−1)^{3}+8 = 0 are :
The number of solutions of the equation Im (z^{2}) = 0,z = 2 is
If z_{1} and z_{2 }are non real complex numbers such that z_{1} = z_{2} and Arg(z_{1})+Arg(z_{2})= π, then z_{1 }=
The complex numbers sinx + i cos2x and cosx – i sin2x are conjugate to each other, for
The value of (1 + √3)^{2} + (1  √3)^{2} is
If α is a complex a number such that α^{2}+α+1 = 0 then α^{31} is
The points z = x + iy which satisfy the equation  z  = 1 lie on
The points of the complex plane given by the condition arg. (z) = (2n + 1) π, n ∈ I lie on
If z = x + yi ; x ,y ∈ R, then locus of the equation , where c ∈ R and b ∈ C, b ≠ 0 are fixed, is
The complex number z which satisfies lies on
If ω is a cube root of unity, then the linear factors of x^{3}+y^{3} in complex numbers are
If α,β are nonreal cube roots of unity then αβ + α^{5}+β^{5} equals
157 videos210 docs132 tests

157 videos210 docs132 tests
