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Mathematics LibreTexts

13.4: Introduction to Conics- Answers to the Homework Exercises

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Introduction to Conics

  1. (0,12); 10910.44
  1. (12,32); 345.83
  1. (1852,69); 41
  1. circle
  1. ellipse
  1. parabola
  1. parabola

Circles

  1. (x+1)2+(y+5)2=100
    clipboard_e2daa35634f0d90ea4180c59fb0414183.png
    Figure 13.4.1
  1. (x+3)2+(y713)2=14
    clipboard_e768f1240e6276acda885c9d9e032c77c.png
    Figure 13.4.2
  1. (x+9)2+y2=25; center (9,0), radius r=5
    clipboard_eb22b0537bc1cd95fb115438068d6abf7.png
    Figure 13.4.3
  1. (x+52)2+(y12)2=304; center (52,12), radius r=302
    clipboard_e27e1b5abe53502c73483aabb6de7ac6a.png
    Figure 13.4.4
  1. (x+12)2+(y35)2=161100; center (12,35), radius r=16110
    clipboard_e48ea4b708e6e51e741d3546bacbebf60.png
    Figure 13.4.5
  1. (x3)2+(y6)2=20
  1. (x1)2+(y32)2=132

Parabolas

  1. Vertex (3,0); Focus (3,4); Directrix y=4
    clipboard_e6548057fdda420a45893ccba380f6787.png
    Figure 13.4.6
  1. Vertex (3,2); Focus (6,2); Directrix x=0
    clipboard_eaa495579a3d2b13cdfab0a89bbaa9500.png
    Figure 13.4.7
  1. Vertex (1,3); Focus (1,2); Directrix y=4
    clipboard_ed327db463912a90f3ec9a28f1898bbb2.png
    Figure 13.4.8
  1. Vertex (2,4); Focus (132,4); Directrix x=52
    clipboard_e6f71ae9faee62fe289f7aa215019d4be.png
    Figure 13.4.9
  1. (x+1)2=8(y6); Vertex (1,6); Focus (1,8); Directrix y=4
    clipboard_e436d72e3336e0a259b565f0254e84164.png
    Figure 13.4.10
  1. (y+1)2=12(x10); Vertex (10,1); Focus (798,1); Directrix x=818
    clipboard_e1616b4c5ffc259dbaa5dbcb832ed3d55.png
    Figure 13.4.11

This page titled 13.4: Introduction to Conics- Answers to the Homework Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Darlene Diaz (ASCCC Open Educational Resources Initiative) via source content that was edited to the style and standards of the LibreTexts platform.

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