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

Solve |z|+z= 2+ i , where z is a complex number

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

Prove that |(z-1)/(1-barz)|=1 where z is as complex number.

Solve the equation 2z=|\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 one root of the equation z^2-a z+a-1= 0 is (1+i), where a is a complex number then find the root.

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

the minimum value of |8Z-8|+|2Z-4| exists, when Z is equal to (where, Z is a complex number)