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The inequality |z-4| lt |z-2| represents...

The inequality `|z-4| lt |z-2|` represents

A

Re `(z) gt 0`

B

Re `(z) lt0`

C

Re `(z) gt 2`

D

None of these

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The correct Answer is:
D
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State true or false for the following. The inequality |z - 4| lt | z-2| represents the region given by x gt 3 .

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.

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FIITJEE-COMPLEX NUMBER-SOLVED PROBLEMS (OBJECTIVE)
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