The equation `|z-1|^(2)+|z+1|^(2)=2`, represent

If the equation |z-z_1|^2 + |z-z_2|^2 =k , represents the equation of a circle, where z_1 = 3i, z_2 = 4+3i are the extremities of a diameter, then the value of k is

If the equation |z-z_1|^2 + |z-z_2|^2 =k , represents the equation of a circle, where z_1 = 3i, z_2 = 4+3i are the extremities of a diameter, then the value of k is

If the equation |z-z_(1)|^(2)+|z-z_(2)|^(2)=k represents the equation of a circle,where z_(1)=2+3 iota,z_(2)=4+3t are the extremities of a diameter,then the value of k is

If z=x+iy , then the equation |z+1|=|z-1| represents

The equation |z - i| = |z - 1| represents :

Q.2 The equation |z+1-i|=|z+i-1| represents a

Prove that |Z-Z_(1)|^(2)+|Z-Z_(2)|^(2)=a will represent a real circle Iwith center (|Z_(1)+Z_(2)|/2+) on the Argand plane if 2a>=|Z_(1)-Z_(1)|^(2)

Prove that |z-z_1|^2+|z-z_2|^2 = k will represent a circle if |z_1-z_2|^2 le 2k.