State True of False for the following:

For any complex number z the minimum value of |z| + |z – 1| is 1.

State True of False for the following:

The order relation is defined on the set of complex numbers.

State True of False for the following:

Multiplication of a non zero complex number by –i rotates the point about origin through a right angle in the anti-clockwise direction.

State True of False for the following:

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

State True of False for the following:

If z is a complex number such that z ≠ 0 and Re (z) = 0, then Im (z²) = 0.