If `log_(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2` then `|z|=`

If log_(sqrt(3))|(|z|^(2)-|z|+1|)/(|z|+2)|<2 then locus of z is

If log_((1)/(2))((|z|^(2)+2|z|+4)/(2|z|^(2)+1))<0 then the region traced by z is

If log sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt2 , then the locus of z is

If log_(sqrt(3))((|z|^(2)-|z|+1)/(2+|z|))>2, then locate the region in the Argand plane which represents z

If |z_(1)-1|lt 1,|z_(2)-2|lt 2,|z_(3)-3|lt 3 , then |z_(1)+z_(2)+z_(3)|