Question

Please help me with this!!!!! .If S is the set of points z in the complex plane such that (3 + 4i)z is a real number, then S is a ----- A. right triangle B. circle C. hyperbola D. line E. parabola​

Answer 1

D line

Explanation:

The 4i word should be eliminated since we want (3+4i)z to be a genuine number. Then, to ensure that the imaginary terms cancel out when z is multiplied together, we can make z of the form (n-4/3 ni).