HyperbolaHardBloom L3

Question

The locus of a point in the Argand plane that moves satisfying the equation, $|z - 1 + i| - |z - 2 - i| = 3$ is:

Options

A.circle with radius 3 and centre at $z = 3/2$
B.an ellipse with its foci at $1 - i$ and $2 + i$ and major axis $= 3$
C.a hyperbola with its foci at $1 - i$ and $2 + i$ and its transverse axis $= 3$
D.none of the above

Solution

Sol. (c) Obvious

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