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Complex Numbers

Non-zero comp...

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Non-zero complex number z is such that Z+ 1/Z is Z purely real then sum of possible values of arg(z) is k, then k equals

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Q. Let z & w be two non zero complex numbers such that

| z | = | w |

A r g z + A r g w = π

, then z equals

z

w

be two non-zero complex numbers such that

| z | = | w |

a r g (z) + a r g (w) = π

z

z

is a non-zero complex number, then

a r g (z) + a r g (¯ ¯ ¯ z)

z

ω

are two non-zero complex numbers such that

| z | = | ω |

a r g z + a r g ω = π

z

z

is a complex number not purely real such that imaginary part of

z - 1 + \frac{1}{z - 1}

is zero, then locus of

z

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