If abs(z-3+ i)= 4 then, the locus of z i...

If `abs(z-3+ i)`= 4 then, the locus of z is

A

`x^2`+`y^2`-6x+2y-6=0

B

`x^2`+`y^2`-6=0

C

`x^2`+`y^2`-3x+y-6=0

D

`x^2`+`y^2`=0

Verified by Experts

Similar Questions

Explore conceptually related problems

If z = (k+4)+i(sqrt(9-k^2)) , then the locus of z is, (where i = sqrt(-1))

If the amplitude of z-2-3i is frac{pi}{4} , then the locus of z = x+yi is

If the real part of frac{bar z + 2}{bar z -1} is 4, then show that the locus of the point representing z in the complex plane is a circle.

Let z=x+iy and a point P represent zin the argand plane. If the real part of frac{z-1}{z+i} is 1, then a point that lies on the locus of P is

For all complex numbers z_1, z_2 satisfying abs(z) = 12 and abs(z_2-3-4i) = 5 , the minimum value of abs(z_1-z_2) is

If abs(z_1)=abs(z_2)=….....=abs(z_n) = 1 then the value of abs(z_1+z_2+z_3+…....+z_n) =

Find the equation in cartesian co-ordinates of the locus of z if frac{abs(z+3i)}{abs(z+6i)} =1

Find the equation in cartesian co-ordinates of the locus of z if abs(z-8) = abs(z-4)

Find the equation in cartesian co-ordinates of the locus of z if abs(z-2-2i) = abs(z+2+2i)

Find the equation in cartesian co-ordinates of the locus of z if abs(z-5+6i) =5