Math Conic Sections MCQ Test: Math Conic Sections MCQs - Practice Questions
1. Define the semi-latus rectum of a parabola.
2. What is the polar equation for a circle with radius 'a'?
3. For a circle, what is the relationship between the radius and the area?
4. Define the directrix of a hyperbola.
5. What is the standard form equation of a circle with center (h, k) and radius r?
6. For a hyperbola, what is the relationship between the distances from the center to the foci and the vertices?
7. Define the vertices of an ellipse.
8. For a parabola, what is the relationship between the vertex and the focus?
9. What is the standard form equation of a circle with center (h, k) and radius 'r' in the Cartesian coordinate system?
10. What is the relationship between the semi-major axis 'a' and the semi-minor axis 'b' in the standard form equation of an ellipse?
11. What is the standard form equation of a parabola with vertex (h, k) and focus (h, k + p) in the Cartesian coordinate system?
12. Define the focus-directrix property of a parabola.
13. What is the standard form equation of an ellipse in the Cartesian coordinate system?
14. What is the standard form equation of a hyperbola in the Cartesian coordinate system?
15. Define the center of a conic section.
16. In the equation r = a sin(θ), what type of conic section is represented?
17. For an ellipse, what is the standard form equation in Cartesian coordinates?
18. In the equation of an ellipse, what does 'a' represent?
19. What is the standard form equation of a parabola with focus (h + p, k) and directrix x = h - p in the Cartesian coordinate system?
20. Define the focus of an ellipse.
21. What is the parametric equation for an ellipse in standard form?
22. For a circle, what is the equation in polar coordinates?
23. In the equation r = a cos(θ), what type of conic section is represented?
24. For an ellipse, what is the relationship between the semi-major axis 'a' and the semi-minor axis 'b'?
25. What is the equation of the directrix for an ellipse in the Cartesian coordinate system?
26. In the equation y² = 4ax, what type of conic section is represented?
27. For a circle, what is the relationship between the radius and the diameter?
28. In a parabola, what is the relationship between the vertex and the focus?
29. What is the standard form equation for a parabola with focus (h + p, k) and directrix x = h - p in the Cartesian coordinate system?
30. What is the standard form equation for a parabola with vertex (h, k) and focus (h, k + p) in the Cartesian coordinate system?
31. For a hyperbola, what is the relationship between the asymptotes?
32. For a parabola, what is the relationship between the focus and the directrix?
33. In the equation r = aθ + b, what does 'a' represent?
34. In the equation x²/a² - y²/b² = 1, what type of conic section is represented?
35. Define the semi-minor axis of an ellipse.
36. What is the eccentricity of a hyperbola?
37. What is the focus-directrix property of a parabola?
38. For a hyperbola, what is the equation of the asymptotes in standard form?
39. Define the semi-major axis of a hyperbola.
40. What is the standard form equation of an ellipse with center (h, k) in the Cartesian coordinate system?