Which of the following equations in parametric form can represent a...

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Which of the following equations in parametric form can represent a hyperbola, where ' \( t \) ' is a parameter?
\( \mathrm{P} \)
(a) \( x=\frac{a}{2}\left(t+\frac{1}{t}\right) \) and \( y=\frac{b}{2}\left(t-\frac{1}{t}\right) \)
(b) \( \frac{t x}{a}-\frac{y}{b}+t=0 \) and \( \frac{x}{a}+\frac{t y}{b}-1=0 \)
W
(c) \( x=e^{t}+e^{-t} \) and \( y=e^{t}-e^{-t} \)
(d) \( x^{2}-6=2 \cos t \) and \( y^{2}+2=4 \cos ^{2} \frac{t}{2} \)
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