the minimum value of `|8Z-8|+|2Z-4|` exists, when Z is equal to (where, Z is a complex number)

For a complex number z the minimum value of |z|+|z-cos alpha-i sin alpha| (where i=sqrt(-1)) is:

For a complex number z the minimum value of |z|+|z-cos alpha-i sin alpha| (where i=sqrt-1 ) is:

If |Z-2|=2|Z-1| , then the value of (Re(Z))/(|Z|^(2)) is (where Z is a complex number and Re(Z) represents the real part of Z)

If |Z-2|=2|Z-1| , then the value of (Re(Z))/(|Z|^(2)) is (where Z is a complex number and Re(Z) represents the real part of Z)

The value of |z|^(2)+|z-3|^(2)+|z-i|^(2) is minimum when z equals -

Area of the region bounded by the curves,|z-4|<=|z-8| and -(pi)/(4)<=arg(z)<=(pi)/(4) (where z is any complex number),is

Fir any complex number z, the minimum value of |z|+|z-1| is

For any complex number z, the minimum value of |z|+|z-1| is :