In an Argand Plane, the equation represents slope intercept form of straight line where is the slope and is the imaginary axis intercept. Prove it. Also show that if and are intercepts of a straight line on real and imaginary axes respectively, then its equation is

Originally Posted by fardeen_gen

In an Argand Plane, the equation represents slope intercept form of straight line where is the slope and is the imaginary axis intercept. Prove it. Also show that if and are intercepts of a straight line on real and imaginary axes respectively, then its equation is

Write z= x+ iy so that . Your equation become (m+ i)(x+ iy)+ (m- i)(x- iy)+ 2c= 0. Multiply that out and show that it can be written as the equation of a line in x and y.