[" %.08.Show that the equation of any circle in the complex plane is of the form "],[qquad zbar(z)+bbar(z)+bar(b)z+c=0(b in C:c in R)]

Show that the equation of any circle in the complex plane is of the form zbarz + bbarz + barbz + c = 0 , (b in C , c in R )

The equation zbar(z)+abar(z)+bar(a)z+b=0,b in R represents circle,if

If z is a complex number then radius of the circle zbar(z)-2(1+i)z-2(1-i)bar(z)-1=0 is

The figur in the complex plane given by 10zbar(z) - 3(z^(2)+bar(z)^(2)) + 4i(z^(2)-bar(z)^(2))=0 is

If Z is a complex number the radius of zbar(z)-(2+3i)z-(2-3i)bar(z)+9=0 is equal to

If z=x+iy then the equation of a straight line A x+B y+C=0 where A ,B ,C in R , can be written on the complex plane in the form a z+a z +2C=0 where ' a ' is equal to ((A+i B))/2 (b) (A-i B)/2 A+i B (d) None of these

If a, b in C and z is a non zero complex number then the root of the equation az^3 + bz^2 + bar(b) z + bar(a)=0 lie on

For any complex number z show that zbar z=|z|^2