Given that the complex number $z=(1+\mathrm{i})t+\frac{1-\mathrm{i}}{t}$ is represented by the point

Question

Given that the complex number $z=(1+\mathrm{i})t+\frac{1-\mathrm{i}}{t}$ is represented by the point $P$ on Argand diagram where $t$ is a non-zero real constant. Find the Cartesian equation of the locus of the point $P$. [3]

Accepted Answer

$x^2 - y^2 = 4$

2014 JJC P1 Q10(a)

2014 JJC P1 Q10(a)

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