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Polar Equations of Conics

Polar Equations of Conics. Polar Equations of Conics. Polar Equations of Conics. Eccentricity If e = 1, the conic is a parabola; the axis of symmetry is perpendicular to the directrix If e < 1, the conic is an ellipse; the major axis is perpendicular to the directrix

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Polar Equations of Conics

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  1. Polar Equations of Conics

  2. Polar Equations of Conics

  3. Polar Equations of Conics Eccentricity • If e = 1, the conic is a parabola; the axis of symmetry is perpendicular to the directrix • If e < 1, the conic is an ellipse; the major axis is perpendicular to the directrix • If e > 1, the conic is a hyperbola; the transverse axis is perpendicular to the directrix

  4. Parabola

  5. Hyperbola

  6. Hyperbola (cont.)

  7. Ellipse

  8. Ellipse (cont.)

  9. 1. Identify the conic that each polar equation represents. Also, give the position of the directrix(Similar to p.423 #7-12)

  10. 2. Identify the conic that each polar equation represents. Also, give the position of the directrix(Similar to p.423 #7-12)

  11. 3. Identify the conic that each polar equation represents. Also, give the position of the directrix(Similar to p.423 #7-12)

  12. 4. Graph the equation(Similar to p.423 #13-24)

  13. 5. Graph the equation(Similar to p.423 #13-24)

  14. 6. Graph the equation(Similar to p.423 #13-24)

  15. 7. Graph the equation

  16. 8. Convert each polar equation to a rectangular equation(Similar to p.424 #25-36)

  17. 9. Convert each polar equation to a rectangular equation(Similar to p.424 #25-36)

  18. 10. Convert each polar equation to a rectangular equation(Similar to p.424 #25-36)

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