Question

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 interior of a square of side 2 units with its centre at Z=
• D. None of these

Answer 1

Answer: (B)

The exterior of the unit circle with its centre at Z = 0

Answer 2

Sol. The given inequality is equivalent to

(2Z –3i) (2$\bar{Z}$+ 3i) < (3Z –2i) (3$\bar{Z}$+ 2i) which reduces to

|Z|² > 1