The line \( y=m x+2 c \sqrt{-m} \) touches the hyperbola \( \mathrm...

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The line \( y=m x+2 c \sqrt{-m} \) touches the hyperbola
\( \mathrm{P} \) \( x y=c^{2} \) at

W.
(1) \( \left(\frac{c}{\sqrt{-m}}, c \sqrt{-m}\right) \)
(2) \( \left(\frac{c}{\sqrt{-2 m}}, c \sqrt{-2 m}\right) \)
(3) \( \left(\frac{c}{\sqrt{m}}, c \sqrt{m}\right) \)
(4) None of these
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