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Show that the locus represented by x = 1...

Show that the locus represented by `x = 1/2 a (t + 1/t) , y = 1/2 a (t - 1/t) ` is a rectangular hyperbola. Show also that equation to the normal at the point 't' is `x/(t^(2) + 1) + y/(t^(2) - 1) = a/t`.

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