Let z1z2,z3, be three complex number s...

Let `z_1z_2,z_3,` be three complex number such that `z_1+z_2+z_3=0` and `|z_1|=|z_2|=|z_3| =1` then Let `|z_1^2+2z_2^2+z_3^2|` equals

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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -EXERCISE LEVEL 1

Let z(1), z(2), z(3) be three non-zero complex numbers such that z(1) ...
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If |z1|=|z2|=|z3|=1 then value of |z1-z3|^2+|z3-z1|^2+|z1-z2|^2 cannot...
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Let z1z2,z3, be three complex number such that z1+z2+z3=0 and |...
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Let z(1), z(2), z(3) be three complex numbers such that |z(1)| = |z(2)...
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Suppose z is a complex number such that z ne -1, |z| = 1, and arg(z) =...
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Let a = Im((1+z^(2))/(2iz)), where z is any non-zero complex number. T...
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Number of complex numbers such that |z| = 1 and z = 1 - 2 bar(z) is
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Let z(1), z(2) be two complex numbers such that z(1) ne 0 and z(2)//z(...
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If z = i(1+sqrt(3)),"then"z^(4)+2z^(3)+4z^(2) + 5 is equal to
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If the fourth roots of unity are z1, z2, z3, z4 and z1^2+z2^2+z3^2+z4^...
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Suppose arg (z) = - 5 pi//13, then arg((z + bar(z))/(1+z bar(z))) is
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The number of values of theta in (0, pi], such that (cos theta + i sin...
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If z in C - {0, -2} is such that log((1//7)) |z-2| gt log((1//7)) |z| ...
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Im ((2z+1)/(iz+1))=5 represents
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If z1,z2 are two complex numbers such that Im(z1+z2)=0,Im(z1z2)=0, the...
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The number (1+ i)^n / (1 - i )^(n-2) is equal to
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Let omega ne 1, be a cube root of unity, and f : I rarr C be defined b...
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If z + (1)/(z) = 2 cos theta, z in "C then z"^(2n) - 2z^(n) cos (n the...
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If omega ne 1 is a cube root of unity, then z=sum(k=1)^(60)omega^(k) -...
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Let g(x) and h(x) be two polynomials with real coefficients. If p(x) =...
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