Multiplying a non-zero complex number by `(1-i)/(1+i)` ,results in a rotation about the origin on an argand diagram then what is that rotation

The complex number (1+2i)/(1-i) lies in the Quadrant number

Convert the complex number (1+i)/(1-i) in the polar form

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.

Find the modulus of the complex number ((i)/(1-i))

The number of complex numbers satisfying (1 + i)z = i|z|

The point represented by the complex number 2+i rotated about the origin through an angle (pi)/(2) . The new position of the point is

The point represented by the complex number (2 - i) is rotated about origin through an angle (pi)/(2) in the clockwise direction, the new position of point is (A) 1+2i (B) -1-2i (C) 2+i (D) -1+2i