Question 1
For what type of curve is the determinant AC > 0?
Question 2
For a parabola with the equation y² = 2px, what is the focus?
Question 3
For an ellipse where a ≥ b, what are its foci?
Question 4
For the hyperbola (x²/16) - (y²/9) = 1, what is its eccentricity?
Question 5
What are the key variable components of a second-order curve?
Question 6
What is the determinant that is used to classify second-order curves in this context?
Question 7
For the hyperbola canonical equation (x²/a²) - (y²/b²) = 1, what is always true about its eccentricity?
Question 8
What is the parameter p in the parabolic equation y² = 2 * 4x?
Question 9
What is the canonical equation of a parabola?
Question 10
What is the directrix of a parabola defined by y² = 6x?
Question 11
What condition about coefficients A and C must hold true in a second-order curve equation?
Question 12
What are the foci for a hyperbola defined by (x²/9) - (y²/16) = 1?
Question 13
How can you determine if a second-order curve is a parabola?
Question 14
What are the semi-major and semi-minor axes for the ellipse defined by (x²/5²) + (y²/3²) = 1?
Question 15
What is the canonical equation of an ellipse?