Home
Class 12
MATHS
If |(z-2)//(z-3)|=2 represents a circle,...

If `|(z-2)//(z-3)|=2` represents a circle, then find its radius.

A

1

B

`(1)/(3)`

C

`(3)/(4)`

D

`(2)/(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|15 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Show that |(z -2)/(z - 3)| = 2 represents a circle, find its centre and radius.

Show that |(z -2)/(z - 3)| = 2 represents a circle, find its centre and radius.

If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a circle, when m is (a) 1/2 (b). 1 (c). 2 (d). 3

If Im((iz+2)/(z+i))=-1 represents part of a circle with radius r units, then the value of 4r^(2) is (where, z in C, z ne i,lm(z) represents the imaginary part of z and i^(2)=-1 )

If z=x+iy, where i=sqrt(-1) , then the equation abs(((2z-i)/(z+1)))=m represents a circle, then m can be

The equation zbarz+(4-3i)z+(4+3i)barz+5=0 represents a circle of radius

If |(z+i)/(z-i)|=sqrt(3) , then z lies on a circle whose radius, is

If z be a complex number, then |z-3-4i|^(2)+|z+4+2i|^(2)=k represents a circle, if k is equal to

If |z-2-3i|^(2) + |z- 5 - 7i|^(2)= lambda respresents the equation of circle with least radius, then find the value of lambda .

Two points P and Q in the argand plane represent the complex numbers z and 3z+2+u . If |z|=2 , then Q moves on the circle, whose centre and radius are (here, i^(2)=-1 )