Answer: (3, −2).
- A (3, −2)
- B (−3, 2)
- C (6, −4)
- D (−6, 4)
Correct answer: A. (3, −2)
Explanation: With 2g = −6 and 2f = 4, the centre (−g, −f) is (3, −2).
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.