Question

The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form az + b*overline{z} = 38 for some complex numbers a and b. Find the product ab. Any help?
For sure! a = 7 - 2i and b = 7 + 2i, so ab = (7 - 2i)(7 + 2i) = 53.

Related Questions

The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form... In this problem we consider drawing some straight lines which form a nice pattern. Consider joining... If a, b, c, d are 4 different numbers, then the line joining R(-a,b) and S(-c,-d) has the same slope... Find the equation of the locus of a moving point such that the slope of the line joining the point t...