Question

Find t belongs to r for which there is atleast one complex number satisfying |z+1|=t^2-2t+6

Answer 1

|z+1|=t^2-2t+6

=t^2-2t-3t+6

=t(t-2)-3(t-2)

=(t-2)(t-3)

|z+1| is a positive because,

z+1=2. |. z+1=3

z=1. |. z=2