If |sqrt2z- 3+2i|= |z| |sin ((pi)/(4) + ...

If `|sqrt2z- 3+2i|= |z| |sin ((pi)/(4) + arg z_(1)) + i cos((3pi)/(4) - arg z_(1))|`, where `z_(1)=1+ (1)/(sqrt3)i`, then locus of z is

A

A) pair of straight lines

B

B) circle

C

C) parabola

D

D) ellipse

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The correct Answer is:

B

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