having ita Ans. Centers: (2, 1), (1, 4). y = 3, 7x +y = 5, and having ita center or. 16. Touching the lines x-y renter on the line 2r + y = 10. Heving a radius V85, through (5. 9) 1 Ans. Centers: (3, 4), (7, –1

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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16
17. Having a radius V85, through (5, 9), (1, -7). Solve in two way..
Bolve Exs. 27-30 by the formula of Ex. 26.
15. Touching the lines 3z + 4y = 12, 4x + 3y -
13. Touching the line x + y = 4 at (1, 3,, and having a radiue 2.
19. Touching the lines r + 2y = 4, x + 2y = 2, y = t - 5.
12. Touching the y-axis and passirg through the pointe (\, 5), (8, 12).
18. Having a radius V10, through (4, 1), (6, 3). Solve in two ways.
epresents the circle through (21, Y1), (xa, Y1), (I, Ya).
CIRCLES OF APPOLONIUS
87
Solve in two ways.
14. Touching the line a
Solve in two ways.
Ans. Centers: (0, 2), (2, 4).
3 at (-1,-2), and having a redius V5.
Ans. Centers: (0,-4), (-2,0
2y
%3D
- 9, and having ita
Ans. Centers: (2, 1), (1, 4).
3, 7x +y 5, and having its center or.
Ans. Centers: (3, 4), (7, –4)
Touching the lines z-y =
the line 2x + y= 10.
100 at (6, -8) and having a radius 15.
Ans. Centers: (-3, 4), (15, –20).
1. Touching the circle x² + y + 2x - 6y +5 = 0 at (1, 2) and passing
20. Touching the circle x² + y?
Ans. Center: (3, 1).
irough (4, – 1).
22. With radius V2, tangent to the line r y = 3, and having its
Ans. Centers: (1, 4), (, ).
renter on the line y = 4x.
23. With radius 1, tangent to the line 3r + 4y = 5 , and having ite center
Ans. Centers (0, 0), (10. - 5).
m the line z + 2y = 0.
24. With radius 2, tangent to the x-axis, and passing through (1, -1).
Ans. Centers: (1 V3, -2).
2x, and passing through
Ans. Centers: (1, -8), (5, 0).
25. With radius 2 V5, tangent to the line y =
4-4).
26. Prove that the equation
(x + y)
(x,+ yi") X VA
(x,+ y.') x Ya 1
(x, + y.") X.
21. Ex. 1.
30. Ex. 4.
28, Ex. 2
29. Ex. 3.
Transcribed Image Text:17. Having a radius V85, through (5, 9), (1, -7). Solve in two way.. Bolve Exs. 27-30 by the formula of Ex. 26. 15. Touching the lines 3z + 4y = 12, 4x + 3y - 13. Touching the line x + y = 4 at (1, 3,, and having a radiue 2. 19. Touching the lines r + 2y = 4, x + 2y = 2, y = t - 5. 12. Touching the y-axis and passirg through the pointe (\, 5), (8, 12). 18. Having a radius V10, through (4, 1), (6, 3). Solve in two ways. epresents the circle through (21, Y1), (xa, Y1), (I, Ya). CIRCLES OF APPOLONIUS 87 Solve in two ways. 14. Touching the line a Solve in two ways. Ans. Centers: (0, 2), (2, 4). 3 at (-1,-2), and having a redius V5. Ans. Centers: (0,-4), (-2,0 2y %3D - 9, and having ita Ans. Centers: (2, 1), (1, 4). 3, 7x +y 5, and having its center or. Ans. Centers: (3, 4), (7, –4) Touching the lines z-y = the line 2x + y= 10. 100 at (6, -8) and having a radius 15. Ans. Centers: (-3, 4), (15, –20). 1. Touching the circle x² + y + 2x - 6y +5 = 0 at (1, 2) and passing 20. Touching the circle x² + y? Ans. Center: (3, 1). irough (4, – 1). 22. With radius V2, tangent to the line r y = 3, and having its Ans. Centers: (1, 4), (, ). renter on the line y = 4x. 23. With radius 1, tangent to the line 3r + 4y = 5 , and having ite center Ans. Centers (0, 0), (10. - 5). m the line z + 2y = 0. 24. With radius 2, tangent to the x-axis, and passing through (1, -1). Ans. Centers: (1 V3, -2). 2x, and passing through Ans. Centers: (1, -8), (5, 0). 25. With radius 2 V5, tangent to the line y = 4-4). 26. Prove that the equation (x + y) (x,+ yi") X VA (x,+ y.') x Ya 1 (x, + y.") X. 21. Ex. 1. 30. Ex. 4. 28, Ex. 2 29. Ex. 3.
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