For every real number c ge 0, find all c...

For every real number c `ge` 0, find all complex numbers z which satisfy the equation `abs(z)^(2)-2iz+2c(1+i)=0`, where `i=sqrt(-1)` and passing through (-1,4).

Similar Questions

Explore conceptually related problems

Find the all complex numbers satisying the equation 2|z|^(2)+z^(2)-5+isqrt(3)=0, wherei=sqrt(-1).

The equation z^(2)-i|z-1|^(2)=0, where i=sqrt(-1), has.

Find the complex number satsifying the equation z+sqrt(2)|(z+1)|+i=0

The complex number z= which satisfied the condition |(i+z)/(i-z)|=i lies on

Number of solutions of the equation z^(2)+|z|^(2)=0 , where z in C , is

If z is a complex number satisfying the relation ∣z+1∣=z+2(1+i) then z is

Find all real numbers x which satisfy the equation 2(log)_2log\ _2x+(log)_(1/2)(log)_2(2sqrt(2)x)=1.

The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

Find the value of z satisfying the euqation |z|-z=1+2i .

If z is any complex number satisfying abs(z-3-2i) le 2 , where i=sqrt(-1) , then the minimum value of abs(2z-6+5i) , is