iran-konkur 2016 Q109

iran-konkur · Other · konkur-riazi_1395_specialized Curve Sketching Number of Solutions / Roots via Curve Analysis
109. The graph of $y = \cos(\tan^{-1} x)$ and the line $y = mx$, for which set of values of $m$, share exactly one point in common?
(4) $(0, +\infty)$ (3) $(-\infty, 0)$ (2) $(-\infty, +\infty)$ (1) $(-\infty, +\infty) - \{0\}$
\textbf{109.} The graph of $y = \cos(\tan^{-1} x)$ and the line $y = mx$, for which set of values of $m$, share exactly one point in common?

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(4) $(0, +\infty)$ \hfill (3) $(-\infty, 0)$ \hfill (2) $(-\infty, +\infty)$ \hfill (1) $(-\infty, +\infty) - \{0\}$

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