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Read the following writeup carefully: ...

Read the following writeup carefully:
In argand plane `|z|` represent the distance of a point z from the origin. In general `|z_1-z_2|` represent the distance between two points `z_1 and z_2`. Also for a general moving point z in argand plane, if arg(z) `=theta`, then `z=|z|e^(itheta)`, where `e^(itheta) = cos theta + i sintheta`.
Now answer the following question
`[|z-z_1|-|z-z_2|]=t`, where t is real parameter always represents

A

ellipse

B

hyperbola

C

circle

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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