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If \( \mathrm{y}=\mathrm{mx}+\mathrm{c} \) is a tangent to the hyperbola \( \mathrm{x}^{2}-3 \mathrm{y}^{2}=1 \), then
(A) \( c^{2}=m^{2} \)
(B) \( \mathrm{c}^{2}=\mathrm{m}^{2}+1 \)
\( \mathrm{P} \)
(C) \( \mathrm{c}^{2}\mathrm{m}^{2} \)
(D) \( \mathrm{c}^{2}\mathrm{m}^{2} \)
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