State true or false for the following.
The inequality `|z - 4| lt | z-2| ` represents the region given by `x gt 3`.

abs(z - 4 ) lt abs (z - 2) represents the region given by :

The inequality |z-i| lt |z + i| represents the region

The inequality |z-2| lt |z-4| represent the half plane

The inequality |z+2|<|z-2| represents the region given by

The inequality |z-4| < |z-2| represents

If |z - 4| lt |z - 2| , then

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.

State true or false for the following. For locus represented by |z-1| = |z-i| is a line perpendicular to the join of the points (1, 0) and (0, 1).

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