Answer:
B, C, A, D
Step-by-step explanation:
You want the ellipses in order of increasing eccentricity.
Eccentricity
The eccentricity of an ellipse is the root of the complement of the ratio of the short axis to the long axis. When they are the same length, as in a circle, the eccentricity is 0. The "skinnier" the ellipse is, the greater its eccentricity. As the ellipse approaches a line segment, the eccentricity approaches 1.
In order of increasing eccentricity, you have ...
- ellipse B
- ellipse C
- ellipse A
- ellipse D
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Additional comment
The eccentricity is also the ratio of the distances from a point on the curve to the focus and directrix. When that ratio is 1, the conic section is a parabola. When it is greater than 1, the curve is a hyperbola.
