Conic Sections

Topics in this chapter

• Conic Definitions and Classification
• Circle Equations and Properties
• Parabola Equations and Properties
• Ellipse Equations and Properties
• Hyperbola Equations and Properties
• Conic Tangents and Normals
• Conic Equations From Conditions

Cheat sheet

Practice questions

1. Question 1Q-45C5BB

   The radius of the circle x^2 + y^2 - 6x + 8y + 9 = 0 is:

   1. A.2
   2. B.3
   3. C.4
   4. D.5
   See the answer and solution
2. Question 2Q-8D5A65

   The eccentricity of the ellipse x^2/25 + y^2/9 = 1 is:

   1. A.3/5
   2. B.4/5
   3. C.5/4
   4. D.9/25
   See the answer and solution
3. Question 3Q-63EA0F

   The equation of the tangent to the parabola y^2 = 16x at the point (4, 8) is:

   1. A.y = x + 4
   2. B.y = 2x + 4
   3. C.y = x - 4
   4. D.y = 4x + 8
   See the answer and solution
4. Question 4Q-B0188F

   An ellipse has its foci at (-4, 0) and (4, 0), and its major axis has length 10. Find its equation.

   See the answer and solution
5. Question 5Q-0DD6EE

   For the parabola y^2 = -12x, the focus and directrix are respectively:

   1. A.(-3, 0) and x = 3
   2. B.(3, 0) and x = -3
   3. C.(0, -3) and y = 3
   4. D.(0, 3) and y = -3
   See the answer and solution