A curve is defined parametrically by the equations $x = \frac{2}{t}$ and $y = 1 - 2t$, where&nbs

Question

A curve is defined parametrically by the equations $x = \frac{2}{t}$ and $y = 1 - 2t$, where $t$ is a real parameter. Find the equation of the tangent to the curve at $t = -2$ and determine if it cuts the curve again.

Accepted Answer

$y=4x+9$. The tangent does not cut the curve again.

Techniques of Differentiation - Differentiation of Parametric Equations

Techniques of Differentiation - Differentiation of Parametric Equations

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