\textbf{112.} For which values of $m$, the line $y = mx$ is tangent to the curve $(m+2)y = mx$ and is parallel to one of the tangent lines of the curve $y = \sqrt{1+x^2}$?
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(4) $m < 1$ \hfill (3) $m > 1$ \hfill (2) $m < -1$ \hfill (1) $m > -1$
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