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In argand plane |z| represent the distan...

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^(i theta)`, where `e^(i theta)=cos theta+i sin theta`.
If `|z-(3+2i)|=|z cos((pi)/(4)-"arg z")|`, then locus of z is

A

circle

B

parabola

C

ellipse

D

hyperbola

Text Solution

Verified by Experts

The correct Answer is:
B
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