solve `z+2=1/(4-3i), ` where z is a complex number

Solve the equation, z^(2) = bar(z) , where z is a complex number.

Solve the equation 2z=|backslash z|+2i, where z is a complex number.

Solve the equation z^(2)+|z|=0, where z is a complex number.

Show that |(2z + 5)(sqrt2-i)|=sqrt(3) |2z+5| , where z is a complex number.

If |z-2|= "min" {|z-1|,|z-3|} , where z is a complex number, then

If Re((z-1)/(z+1))=0 where z=x+iy is a complex number,then which one of the following is correct? (a) z=1+i(b)|z|=2 (c) z=1-i

If arg ((z-(10+6t))/(z-(4+2i)))=(pi)/(5) (where z is a complex number), then the perimeter of the locus of z is

The system of equations |z+1-i|=2 and Re(z)>=1 where z is a complex number has

Number of solutions of the equation z^(3)+(3(bar(z))^(2))/(|z|)=0 where z is a complex number is

The number of solutions of the equation z^(3)+(3(barz)^(2))/(|z|)=0 (where, z is a complex number) are