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Which polar curve looks like a figure eight centered on the pole?
AThe lemniscate
BThe cardioid
CThe rose curve
DThe spiral
Answer & Solution
Correct answer: A. The lemniscate
1. The curve loops out on one side, crosses at the pole, and loops out on the other.
2. That double-loop shape is the lemniscate.
3. A cardioid has a single heart-shaped loop, so it cannot cross itself at the pole.
_Source: OpenStax Precalculus (CC BY 4.0), Ch 8 "Further Applications of Trigonometry", section 8.4 Polar Coordinates: Graphs_