The curve represented by ${\rm{Im}}\left( {{z^2}} \right) = k,$ where $k$ is a non-zero real number, is

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

The curve represented by

\mathrm{Im}\left( {{z^2}} \right) = k,

where

k

is a non-zero real number, is

View answer and explanation

Correct option: D

A hyperbola

Option D (A hyperbola) is correct because the equation Im(

{z^2}

) = k, where k is a non-zero real number, simplifies to xy = k/2, which represents a hyperbola.

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