1. If `|z-2+i|≤`2 then find the greatest and least value of` | z| `

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

If |z|ge3, then determine the least value of |z+(1)/(z)| .

If G and L are the greatest and least values of the expression (x^(2)-x+1)/(x^(2)+x+1), x epsilon R respectively. then find the least value of G^(5)+L^(5) .

If G and L are the greatest and least values of the expression (2x^(2)-3x+2)/(2x^(2)+3x+2), x in R respectively. The least value of G^(100)+L^(100) is

Find the gratest and the least values of |z_(1)+z_(2)|, if z_(1)=24+7iand |z_(2)|=6," where "i=sqrt(-1)

If |z+(4)/(z)|=2, find the maximum and minimum values of |z|.

If yz+zx+xy=12 , where x,y,z are positive values find the greatest value of xyz.

If |z-2i|lesqrt(2), where i=sqrt(-1), then the maximum value of |3-i(z-1)|, is

If |z-(4)/(z)|=2 then the maximum value of |z| is

If |z_(1)| = 1, |z_(2)| =2, |z_(3)|=3, and |9z_(1)z_(2) + 4z_(1)z_(3)+ z_(2)z_(3)|= 12 , then find the value of |z_(1) + z_(2) + z_(3)| .