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If arg (z^(1//2))=(1)/(2)arg(z^(2)+barzz...

If `arg (z^(1//2))=(1)/(2)arg(z^(2)+barzz^(1//3)),` find the value of `|z|.`

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If arg (z^(1//3))=(1)/(2)arg(z^(2)+barzz^(1//3)), find the value of |z|.

If arg(z^(3//8))=(1)/(2)arg(z^(2)+barz^(1//2)) , then which of the following is not possible ?

If arg(z^(3//8))=(1)/(2)arg(z^(2)+barz^(1//2)) , then which of the following is not possible ?

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arg(z_(1)z_(2))=arg(z_(1))+arg(z_(2))

If arg(z_(1))=(2pi)/3 and arg(z_(2))=pi/2 , then find the principal value of arg(z_(1)z_(2)) and also find the quardrant of z_(1)z_(2) .

If arg(z_(1))=(2pi)/3 and arg(z_(2))=pi/2 , then find the principal value of arg(z_(1)z_(2)) and also find the quardrant of z_(1)z_(2) .

arg((z_(1))/(z_(2)))=arg(z_(1))-arg(z_(2))

If arg((z_(1))/(z_(2)))=(pi)/(2), then find the value of |(z_(1)+z_(2))/(z_(1)-z_(2))|