If the normal to the rectangular hyperbola \( x y=c^{2} \) at \( \m...

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If the normal to the rectangular hyperbola \( x y=c^{2} \) at
\( \mathrm{P} \)
W \( \left(c t, \frac{c}{t}\right) \) meets the curve again at \( \left(c t_{1}, \frac{c}{t_{1}}\right) \), then \( t_{1} \) must be equal to
(1) \( -\frac{1}{t} \)
(2) \( -\frac{1}{t^{2}} \)
(3) \( -\frac{1}{t^{3}} \)
(4) \( -t \)
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