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State ture or false for the following. ...

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.

Answer

Step by step text solution for 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. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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