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The locus represented by x = (a)/(...

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

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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 that the locus represented by x=(1)/(2)a(t+(1)/(t)),y=(1)/(2)a(t-(1)/(t)) is a rectangular hyperbola.

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 that the locus represented by x=(1)/(2)a(t+(1)/(t)),y=(1)/(2)a(t-(1)/(t)) is a rectangular hyperbola.

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 that the locus represented by x=(1)/(2)a(t+(1)/(t)),y=(1)/(2)a(t-(1)/(t)) is a rectangular hyperbola.

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

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

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 .

The locus of the represented by x = t^ 2 + t + 1 , y = t ^ 2 - t + 1 is