The Tangent to the curve y=x+(1)/(x) at ...

The Tangent to the curve `y=x+(1)/(x)` at `(a,b)` is parallel to `X` - axis , then the value of : (a,b)=
(a) `(0,+-1)`
(b)`(+-2,+-3)`
(c) `(+-1,0)`
(d) `(+-1,+-2)`

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