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

a) `x / (x - y) - y / (x +y)i`

B

b) `x / (x^2 + y^2) - y / (x^2 +y^2)i`

C

c) `-x / (x^2 + y^2) + y / (x^2 +y^2)i`

D

d) `x / (x + y) + y / (x +y)i`

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