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Let `f` be a continuous, differentiable, and bijective function. If the tangent to `y=f(x)a tx=a` is also the normal to `y=f(x)a tx=b ,` then there exists at least one `c in (a , b)` such that `f^(prime)(c)=0` (b) `f^(prime)(c)>0` `f^(prime)(c)<0` (d) none of these

A

`f'(c)=0`

B

`f'(c)gt0`

C

`f'(c)lt0`

D

none of these

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