If z=x+iy is a complex number satisfyin...

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

A

2y = x

B

y = x

C

y-axis

D

x-axis

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

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

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

If |z+i|^2−|z−i|^2 =4 then the locus of z is

If z satisfies |z-6+4i|+|z-3+2i|=13 then the locus of z is

If z is any complex number satisfying |z-3-2i|<=2 then the maximum value of |2z-6+5i| is

If z is any complex number satisfying |z-3-2i|le 2 , then the maximum value of |2z - 6 + 5 i| is ___

If z is a complex number satisfying the relation |z+1|=z+2(1+i), then z is

Let z be a complex number satisfying 2z+|z|=2+6i .Then the imaginary part of z is

If z is a complex number satisfying the equation |z+i|+|z-i|=8, on the complex plane thenmaximum value of |z| is