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The region represented by the inequality...

The region represented by the inequality |2z-3i|<|3z-2i| is

A

the unit disc with its centre at `z=0`

B

the exterior of the unit circle with its centre at `z=0`

C

the inerior of a square of side `2` units with its centre at `z=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` `|2z-3i|^(2) lt |3z-2i|^(2)`
`:. 4x^(2)+(2y-3)^(2) lt 9x^(2)+(3y-2)^(2)`
`:.x^(2)+y^(2) gt 1`
`:. |z|^(2) gt 1`
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