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Let a,b in R and a^(2)+b^(2) ne 0. Sup...

Let `a,b in R` and `a^(2)+b^(2) ne 0`.
Suppose `S={z in C:z=(1)/(a+ibt),t in R,t ne 0}`, where `i=sqrt(-1)`. If z=x+iy and `z in S`, then (x,y) lies on

A

`a=0, b ne 0`

B

`a ne 0, b=0`

C

`a ne 0, b ne 0`

D

all `a, b in R`

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