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Question
Obtain the Cartesian form of the locus of z = x + iy in the following cases:
`bar(z) = z^-1`
Solution
z = x + iy
`bar(z) = z^-1`
⇒ `bar(z) = 1/z`
⇒ `bar(z) bar(z)` = 1
⇒ |z|2 = 1
⇒ |x + iy|2 = 1
⇒ x2 + y2 = 1
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