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The locus of z which satisfies the inequality log 0.3  | z - 1| > log 0.3 |z -i| is given by 

(1) x + y > 0 

(2) x + y < 0 

(3) x - y > 0 

(4) x - y < 0

1 Answer

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Best answer

Correct option is (3) x - y > 0

|z - 1| < |z - i|

Put z = x + iy

by (10 points)
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How |z-1| became < |z-i|

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