Answer
parabola.
Work Step by Step
Step 1. From the given equation, we have
$A=24, B=16\sqrt 3, C=8$
Step 2. Evaluate
$B^2-4AC=(16\sqrt 3)^2-4(24)(8)=768-768=0$
Step 3. As $B^2-4AC=0$, the equation represents a parabola.
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