If `|z-(3+2i)|=|zcos(pi/4-argz)|` , then locus of z is

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If Arg(z-2-3 i)=π/4, then the locus of z is If Arg(z-2-3 i)=π/4, then the locus of z is
Let \( S=\{z=x+i y:|z-1+i| \geq|z|,|z|2,|z+i|=|z-1|\} \). Then, the set of all values of \( x \)... Let \( S=\{z=x+i y:|z-1+i| \geq|z|,|z|2,|z+i|=|z-1|\} \). Then, the set of all values of \( x \)...
The greatest positive argument of complex number satisfying |z-4|=Re(z) is (1) π/3 (2) 2 π/3 (3) ... The greatest positive argument of complex number satisfying |z-4|=Re(z) is (1) π/3 (2) 2 π/3 (3) ...