The length of the normal to the curve at \( (x, y) \) where \( y=a\left(\frac{e^{x / a}+e^{-x / ...

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The length of the normal to the curve at \( (x, y) \) where \( y=a\left(\frac{e^{x / a}+e^{-x / a}}{2}\right) \) at any point varies as
(a) \( x \)
(b) \( x^{2} \)
(c) \( y \)
(d) \( y^{2} \)
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