The locus represented by |z-1|=|z+i| is:

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 locus represented by |z-1| = |z-i| is a line perpendicular to the join of the points (1, 0) and (0, 1).

The locus represented by the equation |z-1|=|z-i| is

The locus represented by the equation |z-1|=|z-i| is

The locus represented by the equation |z-1| = |z-i| is

The locus represented by the equation abs(z-1)=abs(z-i) is

The locus represented by the equat ion,|z-1|+|z+1|=2 is

Perimeter of the locus represented by arg((z+i)/(z-i))=(pi)/(4) equal to