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A quadratic equation `f(x)=a x^2+b x+c=0` has positive distinct roots reciprocal of each other. Which one is correct? `f^(prime)(1)=0` (b) `af^(prime)(1)<0` `c!=b` (d) `a b c!=0`

A

`f(1)=0`

B

`af(1)lt0`

C

`af(1)gt0`

D

Nothing can be said about `a f (1)`

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