Select and write the correct answer from...

Select and write the correct answer from the given alternatives in each of the following: Multiplicative inverse of the non-zero complex number x + iy where `(x, y in R)` is

A

`frac{x}{x+y} + frac{y}{x+y}i`

B

`-frac{x}{x^2+y^2}i`

C

`frac{x}{x^2+y^2} - frac{y}{x^2+y^2}i`

D

`frac{x}{x+y} - frac{y}{x+y}i`

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