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If `z`is complex number, then the locus of `z`satisfying the condition `|2z-1|=|z-1|`isperpendicular bisector of line segment joining 1/2 and 1circleparabolanone of the above curvesA. perpeciular bisector of line segment joining 1/2 and 1B. circleC. parabolaD. none of the above curves |
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Answer» Correct Answer - B `2|z-(1)/(2)|=|z-1|` `therefore (|z-1|)/(|z-(1)/(2)|)=2` So, locus of z is a circle. |
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