1030 CHAPTER 10 Analytic Geometry Without actually graphing, identify the type of graph that each equation has. See Examples 1 and 2. 9. x2 + y2 = 144 10. 1x - 222 + 1y + 322 = 25 11. y = 2x2 + 3x - 4 12. x = 3y2 + 5y - 6 13. x - 1 = -31y - 422 14. x2 25 + y2 36 = 1 15. x2 49 + y2 100 = 1 16. x2 - y2 = 1 17. x2 4 - y2 16 = 1 18. 1x + 222 9 + 1y - 422 16 = 1 19. x2 25 - y2 25 = 1 20. y + 7 = 41x + 322 21. x2 4 = 1 - y2 9 22. x2 4 = 1 + y2 9 23. 1x + 322 16 + 1y - 222 16 = 1 24. x2 = 25 - y2 25. x2 - 6x + y = 0 26. 11 - 3x = 2y2 - 8y 27. 41x - 322 + 31y + 422 = 0 28. 2x2 - 8x + 2y2 + 20y = 12 29. x - 4y2 - 8y = 0 30. x2 + 2x = -4y 31. 4x2 - 24x + 5y2 + 10y + 41 = 0 32. 6x2 - 12x + 6y2 - 18y + 25 = 0 10.4 Exercises CONCEPT PREVIEW Identify the type of conic section described. 1. The conic section consisting of the set of points in a plane that lie a given distance from a given point 2. The conic section consisting of the set of points in a plane that are equidistant from a fixed point and a fixed line 3. The conic section consisting of the set of points in a plane for which the distance from the point 11, 32 is equal to the distance from the line y = 1 4. The conic section with eccentricity e = 0 5. The conic section consisting of the set of points in a plane for which the sum of the distances from the points 15, 02 and 1-5, 02 is 14 6. The conic section consisting of the set of points in a plane for which the absolute value of the difference of the distances from the points 13, 02 and 1-3, 02 is 2 7. The conic section consisting of the set of points in a plane for which the distance from the point 13, 02 is one and one-half times the distance from the line x = 4 3 8. The conic section consisting of the set of points in a plane for which the distance from the point 12, 02 is one-third of the distance from the line x = 10 Identify and sketch the graph of each relation. See Examples 1 and 2. 33. x2 4 + y2 4 = -1 34. x2 4 + y2 4 = 1 35. x2 = 25 + y2 36. 9x2 + 36y2 = 36
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