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.

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Squaring and subtracting the given equations, we get
`x^(2)-y^(2)=a^(2)` which is a rectangular hyperbola.

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