Yes, a circle is a closed curve: its starting and ending points are the same. (any arbitrary point)
Yes, it is a closed plane curve (two-dimensional line). A circle has a constant arc curvature, as compared to obloid or elliptical closed curves.
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Yes ,it is a curve that is just around a circle
circle, compound curve, elipse . . . .
No, a circle can't be a parallelogram. A circle is a curve. A parallelogram is a quadrilateral with two pairs of parallel sides constructed with four line segments. The line segments are straight, and the circle is a continuous curve.
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It depends what kind of curve you're talking about. if it's a circle, and the line is tangent to the circle, then one. If it's a circle, and the line is not tangent to the circle, then two. But if it's a goofy shaped curve then it could be any number. But the most likely answer to your question is 2.