[" MATHS-IIA "],[" Show that the equation of any circle in the comples plane is of the forn "],[rArr+hbar(t)+bar(k)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

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

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

If a plane meets the coordinate axes in A, B, C such that the centroid of the triangle ABC is the point (a,b,c) then show that the equation of the plane is (x)/(a)+(y)/(b)+(z)/(c)=3 .

Find the equation of the plane containing the line (y)/(b)+(z)/(c)=1,x=0 , and parallel to the line (x)/(a)-(z)/(c)=1,y=0 .