1. Tardigrade
  2. Question
  3. Mathematics
  4. If x+iy=(a+ib/a-ib), then x2+y2=

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $x+iy=\frac{a+ib}{a-ib}$, then $x^{2}+y^{2}=$

Complex Numbers and Quadratic Equations

Solution:

We have, $x+ iy=\frac{a+ib}{a-ib}$
Taking modulus both sides, we get
$\sqrt{x^{2}+y^{2}}=1$
$\Rightarrow \,x^{2}+y^{2}=1$