AP® Calculus AB-BC

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Asymptotes to a Parametric Curve

APCALC-NZKX28

Find all asymptotes of the graph of the parametric equation $x( t ) =\cfrac{3}{t}, \ y( t ) =-\cfrac{1}{t-2} .$

A

$x=\cfrac{3}{2} \ \text{and} \ y=\cfrac{1}{2}$

B

$x=-\cfrac{3}{2}\ \text{and}\ y=\cfrac{3}{2}$

C

$x=0\ \text{and}\ y=0$

D

$x=0\ \text{and}\ x=2$