[" Show that the equation of any circle in the complex plane is of the form "],[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 )

Show that the equation of a circle passing through the origin and having intercepts a and b on real and imaginary axes, respectively, on the argand plane is given by z bar z =a(R e z)+b(I mz)dot

Show that the equation of a circle passing through the origin and having intercepts a and b on real and imaginary axes, respectively, on the argand plane is given by z bar z =a(R e z)+b(I mz)dot

In complex plane, the equation |z+ bar z|=|z- bar z| represents :

If z=x+iy , is any point in a complex plane, then barbz+bbarz=c , c in R , represents

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

Two circles in the complex plane are {:(C_(1) : |z-i|=2),(C_(2) : |z-1-2i|=4):} then