IF `agt=1`, find all complex numbers z satisfying the equation `z+a|z+1|+i=0`

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

The complex number z satisfying the equation |z-i|=|z+1|=1

For every real number age 0 , find all the complex numbers z that satisfy the equation 2|z|-4az+1+ ia =0

Non-real complex number z satisfying the equation z^(3)+2z^(2)+3z+2=0 are

Find all complex number z satisfying bar(z)+1=iz^(2)+|z|^(2)

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is (A) 0 (B) 1 (C) 2 (D) 3

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