Modulus of nonzero complex number z satifying `barz + z =0` and `|z|^(2)-4iz=z^(2)` is _____.

Answer

2

Explanation

`barz + z = 0`
`rArr barz = - z`
Now `|z|^(2) -4zi = z^(2)" "["from (1)"]`
`rArr -z^(2) - 4zi = z^(2)`
`rArr 2z = - 4i`
`rArr z = -2i`
`rArr |z| = 2`