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`

Let barz+bbarz=c,b!=0 be a line the complex plane, where bar b is the complex conjugaste 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

Let bar b z+b bar z=c, b ne 0 , be a line in the complex plane, where bar b is the complex conjugate of b. If a point z_1 is the reflection of a point z_2 through the line, then show that : c= bar z_1 b+z_2 bar b .

If z= frac{4}{1-i} , then barz is (where barz is complex congugate of z)

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)=

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)=

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 z(bar(z+alpha))+barz(z+alpha)=0 , where alpha is a complex constant, then z is represented by a point on

If z(bar(z+alpha))+barz(z+alpha)=0 , where alpha is a complex constant, then z is represented by a point on

If a & b are complex numbers then find the complex numbers z_1 & z_2 so that the points z_1 , z_2 and a , b be the corners of the diagonals of a square.