Question: If x + iy = $\frac{u + iv}{u - iv}$ , then x<sup>2</sup> + y<sup>2</sup> =...

Question

If x + iy = $\frac{u + iv}{u - iv}$ , then x² + y² =

Answer 1

Sol. Taking modulus on both sides,

$\sqrt{x^{2} + y^{2}}$ = $\frac{\sqrt{u^{2} + v^{2}}}{\sqrt{u^{2} + v^{2}}}$ Ž x² + y² = 1

Question: If x + iy = \(\frac{u + iv}{u - iv}\) , then x<sup>2</sup> + y<sup>2</sup> =...