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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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The locus of zz satisfying Im⁡(z2)=4\operatorname{Im}\left(z^2\right)=4 is
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Correct option: B
a rectangular hyperbola
Option B (a rectangular hyperbola) is correct because the condition Im(z2z^2) = 4 translates to 2xy=42xy = 4, which is the equation of a rectangular hyperbola.

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