Answer: ellipse.
- A ellipse
- B circle
- C parabola
- D hyperbola
Correct answer: A. ellipse
Explanation: A sum of two squared terms equal to 1 with unequal denominators is an ellipse.
All four conics form a single family distinguished only by eccentricity: a circle is the most "closed" (e=0), an ellipse is an elongated closed curve, a parabola is the borderline open curve (e=1), and a hyperbola has two separate open branches (e>1).
Concept context
Study circles, parabolas, ellipses, and hyperbolas as curves formed by intersecting a plane with a double cone, with their standard equations and key properties.