Let \( f(x)=\frac{1}{1+x^{2}} \), let \( m \) be the slope, \( a \) be the \( x \)-intercept and...

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Let \( f(x)=\frac{1}{1+x^{2}} \), let \( m \) be the slope, \( a \) be the \( x \)-intercept and \( b \) be the \( y \)-intercept of a tangent to \( y=f(x) \).
Value of \( a \) for the tangent drawn to the curve \( y=f(x) \) whose slope is greatest, is
(a) \( -\sqrt{3} \)
(b) 1
(c) \( -1 \)
(d) \( \sqrt{3} \)
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