CircleHard

Question

The locus of the point z which moves such that 2 arg = π is -

Options

A.a straight line passing through the points (3 - i) and (-1 + 3i)
B.a straight line passing through the points (-3 + i) and (1 - 3i)
C.a semi-circle passing through the points (-3 - i) and (1 - 3i)
D.a part of circle with centre at the point (-1 - i) and radius 2√2.

Solution

arg
So the required locus is
shown in diagram with centre
(-1, -1) and radius 2√2.
   

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