The parametric eqns of a curve are x=t + 2/t, y=t - 2/t. Show that t= 1/2(x+y)

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The parametric eqns of a curve are x=t + 2/t, y=t - 2/t. Show that t= 1/2(x+y)

[From: ] [author: ] [Date: 11-11-26] [Hit: ]

x = t + 2/t
y = t - 2/t

x + y = t + 2/t + t - 2/t = 2t

(x + y)/2 = t

x = t + 2/t

y = t - 2/t

Adding both equations:

x + y = 2t

t = (x + y)/2

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