State ture or false for the following.
(i) The order relation is defined on the set of complex numbers.
(ii) Multiplication of a non-zero complex number by -I rotates the point about origin through a right angle in the anti-clockwise direction.(iiI) For any complex number z, the minimum value of `|z|+|z-1|` is 1.
(iv) The locus represent by `|z-1|= |z-i|` is a line perpendicular to the join of the points `(1,0) and (0,1)`.
(v) If z is a complex number such that `zne 0" and" Re (z) = 0, then Im (z^(2)) = 0 .
(vi) The inequality`|z-4|lt |z-2|` represents the region given by `xgt3.
(vii) Let `z_(1) "and" z_(2)`be two complex numbers such that `|z_(1)+z_(2)|= |z_(1)+z_(2)|`,then arg`(z_(1)-z_(2))=0`.
2 is not a complex number.