The exhaustive set of values of ' \( a \) ' for which the function ...

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The exhaustive set of values of ' \( a \) ' for which the function \( f(x)=\tan ^{-1}\left(x^{2}-18 x+a\right) \) \( 0 \forall x \in R \) is :
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(a) \( (81, \infty) \)
(b) \( [81, \infty) \)
(c) \( (-\infty, 81] \)
(d) \( (-\infty, 81) \)
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