The locus of point z satisfying Re 1z - k- where k is a non-zero real number- is

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Definition of Hyperbola

The locus of ...

Question

The locus of point $z$ satisfying $R e (\frac{1}{z}) = k$ , where $k$ is a non-zero real number, is

a straight line

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a circle

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an ellipse

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a hyperbola

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R e (\frac{1}{z}) = k

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\frac{x}{a} + \frac{y}{b} = K

\frac{x}{a} - \frac{y}{b} = \frac{1}{K}

K

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