Paragraph: Consider the equation a z+ b z +c=0 , where a, b, c C (set of complex number) Question: If | a |=| b | 0 and a c = b c , then az + b z + c =0 represents

Step-by-step solution

a z+b z +c=0.......(1) a z + b z + c =0.......(2) Eliminating z from (1) and (2) (|b|^2-|a|^2 ) z=c a -b c Adding (1) and (2) ( a + b ) z +( a + b ) z +( c + c )=0 This is of form A z + A z+B=0