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The locus represented by x=a/2(t+1/t), ...

The locus represented by `x=a/2(t+1/t), y=a/2(t-1/t)` is

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The locus of a point represent by x=(a)/(2)((t+1)/(t)),y=(a)/(2)((t-1)/(t)) , where t=in R-{0} , is