X = t^2 and y = 2t . Prove that the equation of the tangent @ the point with parameter t is given by ty=x +t^2
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X = t^2 and y = 2t . Prove that the equation of the tangent @ the point with parameter t is given by ty=x +t^2

[From: ] [author: ] [Date: 11-04-26] [Hit: ]
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Thank you.

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dx/dt = 2t and dy/dt = 2

dy/dx = dy/dt / dx/dt = 1/t

Point ( t ² , 2t )

y - 2t = (1/t) ( x - t ² )

t y - 2 t ² = x - t ²

t y = x + t ²

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Thank you----pleased to help.

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