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

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