Home
Class 12
MATHS
The region represented by the inequality...

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

A

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

B

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

C

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

D

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`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|11 Videos

  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise Matching Column|1 Videos

  • CIRCLES

    CENGAGE PUBLICATION|Exercise Comprehension Type|8 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos

Similar Questions

Explore conceptually related problems

Show that the solution region represented by the following inequations is a null set: xge0,yge0,2x-y+2le0,x-2yge0

The region bounded by the inequation |y-x|le3 are lying in the quadrant-

The locus represented by the equation abs(z-1)=abs(z-i) is

Plot the region represented by pi/3lt=a r g((z+1)/(z-1))lt=(2pi)/3 in the Argand plane.

If |z-1-i|=1 , then the locus of a point represented by the complex number 5(z-i)-6 is

The electric potential in a region is represented as, v=2x+3y-z The electric field strength is

Sketch the regions satisfying the following inequalities: (a) x gt 2 (b) |y| ge 1

Find the center of the are represented by a r g[(z-3i)//(z-2i+4)]=pi//4 .