Home
Class 12
MATHS
If |z+i|^2-|z-i|^2=3 then the locus of ...

If `|z+i|^2-|z-i|^2=3` then the locus of z is

A

`4y = 0`

B

`4y = 2`

C

`4y = 3`

D

`4y = 4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE -II|126 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

If |z-1| = 2 then the locus of z is

If |3z-2|=5 then the locus of z is

If z=x +iy is a complex number satisfying |z+i//2|^2=|z-i//2|^2 then the locus of z is

Match the following {:(I.,"If |z-3+i|=4 then the locus of z is ","a)"x^2+y^2-6x+2y-6=0),(II.,"If |z-1|=2|z-3|then the locus of z is","b)"3x^2+3y^2-22x+35=0),(III.,"If |z-i|=|z+i|then the locus of z is","c)"y=0),(IV.,"If "|z-1|^2+|z+1|^2=4"then the locus of z is","d)"x^2+y^2=1):}

If Re (z^2)=2 then the locus of z is

If |z -2 - 3i| = 5 then the locus of z = x +iy is

If |(z-i)/(z+i)|=1 then the locus of z is

If a complex number z satisfies |z|^(2)+1=|z^(2)-1| , then the locus of z is

If |z-3+i| = 4 then the locus of z = x +iy is

If |z-1| gt2|z-2| then the locus of z = x + iy is