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The locus of the moving point whose coordinates are given $by (e^{t} + e^{- t}, e^{t} - e^{- t}) where t is a parameter, is$

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xy=1

x+y=2

x2−y2=4

x2−y2=2

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detailed solution

Correct option is C

Let et+e−t,et−e−t≡(h,k) or h=et+e−t and k=et−e−tSquaring and subtracting, we geth2−k2=et+e−t2−et−e−t2=4 Therefore, the locus of h,k is x2−y2=4 .

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The locus of the moving point whose coordinates are given by et+e−t,et−e−t where t is a parameter, is

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The locus of the moving point whose coordinates are given $by (e^{t} + e^{- t}, e^{t} - e^{- t}) where t is a parameter, is$