362 Imaginary and Complex Numbers
- Find the quotient (a+jb)/(a−jb), assuming that a and b are not both equal to 0.
- Find the quotient (a−jb)/(a+jb), assuming that a and b are not both equal to 0. How
does this compare with the answer to Exercise 8? - Suppose k is a positive real-number constant. How many pure real numbers have
absolute values equal to k? How many pure imaginary numbers have absolute values
equal to k? How many complex numbers have absolute values equal to k? Draw a
diagram in the complex-number plane that shows these situations.