The locus of point $z$ satisfying ${\mathop{\rm Re}\nolimits} \left( {\frac{1}{z}} \right) = k$, where $k$ is a non-zero real number, is

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

The locus of point

z

satisfying

{\mathop\mathrm{Re}\nolimits} \left( {\frac{1}{z}} \right) = k

, where

k

is a non-zero real number, is

View answer and explanation

Correct option: B

A circle

Option B (A circle) is correct because the equation

{\mathop\mathrm{Re}\nolimits} \left( {\frac{{1}}{{z}}} \right) = k

simplifies to the equation of a circle.

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