The locus of a point in the Argand plane that moves satisfying the equ

1.	The locus of a point in the Argand plane that moves satisfying the equation \[\|z-1+i\|-\|z-2-i\|=3:\]
A.	is a circle with radius 3 and centre at \[z=\frac{3}{2}\]
B.	is an ellipse with its foci at \[1-i\] and \[2+i\] and major axis \[=3\]
C.	is a hyperbola with its foci at \[1-i\] and \[2+i\]and its transverse axis \[=3\]
D.	None of the above
Answer» D. None of the above

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The locus of a point in the Argand plane that moves satisfying the equation \[|z-1+i|-|z-2-i|=3:\]

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