If P(x,y) denotes z=x+iy, x,y IR and i= -1 in Argand's plane and | z-1 z+2i |=1, then the locus of P is

MHT CET 2024 Mathematics question

If denotes , and in Argand's plane and , then the locus of P is

Answer: (D)

, so P is equidistant from the points i.e. and i.e. . Algebraically, , which is the perpendicular bisector of the

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Question ID VK-092679