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AP® Calculus AB-BC

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Moderate

Equation of a Normal Line

APCALC-RY82NH

Given the curve defined by $4x^2+2xy+y^2=12,$ find the equation of the normal line at $(1,\,2)$.

A

$y=-2x+4$

B

$y=\cfrac{x}{2}+\cfrac{3}{2}$

C

$y=-\cfrac{x}{2}+\cfrac{5}{2}$

D

$y=2x$