State true or false for the following.
For any complex number z, the minimum value of |z| + |z-1| is 1 .

For any complex number z find the minimum value of |z|+|z-2i|

For any complex number z, maximum value of |z|-|z-1| is

For any complex number minimum value of |z| - |z-1| is (A) 1 (B) 2 (C) 1/2 (D) 1/3

for any complex nuber z maximum value of |z|-|z-1| is (A) 0 (B) 1/2 (C) 1 (D) 3/2

State true or false for the following. If z is a complex number such that z ne 0 " and Re " (z)= 0 " then Im" (z^(2)) = 0 .

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

If z is a complex number, then find the minimum value of |z|+|z-1|+|2z-3|dot

If z is a complex number, then find the minimum value of |z|+|z-1|+|2z-3|dot

Find the minimum value of |z-1| if ||z-3|-|z+1||=2.

Find the minimum value of |z-1 if ||z-3|-|z+1||=2.