If a point `z_1` is a reflection of a point `z_2` through the line `b bar z + bar b z + c = 0, b!=0` in the argand plane. Then `b bar(z_1) + bar b z_2`

If a point z_(1) is a reflection of a point z_(2) through the line bbar(z)+bar(b)z+c=0,b!=0 in the argand plane.Then bbar(z_(1))+bar(b)z_(2)

If a point z_(1) is the reflection of a point z_(2) through the line b barz+barbz=c, b in 0 , in the Argand plane, then b barz_(2)+ barb z_(1)=

Let barbz+b(barz)=c,b!=0 be a line the complex plane, where bar b is the complex conjugate of b. If a point z_1 i the reflection of the point z_2 through the line then show that c=barz_1b+z_2barb

If z_1, z_2, z_3 are three collinear points in |argand plane, then |(z_1,bar z_1,1),(z_2,barz_2,1),(z_3,barz_3,1)|=

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 z = x + iy , then show that 2 bar(z) + 2 (a + barz) + b = 0 , where b in R , represents a circles.