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The region in the Argand diagram defined...

The region in the Argand diagram defined by `|z-2i|+|z+2i| lt 5` is the ellipse with major axis along

A

the real axis

B

the imaginary axis

C

`y=x`

D

`y=-x`

Text Solution

Verified by Experts

The correct Answer is:
B

The equation `|z-(0+2i)|+|z-(0-2i)| lt 5` represents the interior of ellipse with foci at `(0,2)` and `(0,-2)`. So, major axis is along the imaginary axis.
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