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Question
Select the correct answer from the given alternatives:
If z = x + iy and |z − zi| = 1 then
Options
z lies on x-asis
z lies on y-asis
z lies on a rectangle
z lies on a circle
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Solution
z lies on a circle
Explanation;
|z – zi| = 1 ......(given)
|x + iy – xi + y| = 1
∴ (x + y)2 + (y – x)2 = 1
∴ 2x2 + 2y2 = 1
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