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

If |z-3+i|=4 , 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

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

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

If |z+2+3i|=5 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 z satisfies |z-6+4i|+|z-3+2i|=13 then the locus of z is