The locus of the point z satisfying ( z-1 z+1 )=k, where k is non-zero real, is

JEE Main Mathematics question

The locus of the point satisfying , where is non-zero real, is

Answer: (A)

says the segment joining and subtends a constant angle at , so lies on an arc of a circle through . The chord from to has the

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Question ID VK-013961