11. Having a radius V85, through (5, 9), (1, –7). Solve in two way.

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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25. With radius 2 V5, tangent to the line y = 2r, and passing through
24. With radius 2, tangent to the x-axis, and passing through (1,-1).
23. With radius 1, tangent to the line 3r + 4y = 5, and having its center
22. With radius V2, tangent to the line r +y = 3, and having its
15. Touching the lines 3r + 4y = 12, 4x + 3y = 9, and having ita
13. Touching the line x +y = 4 at (1, 3,, and having a radiue V2
12. Touching the y-axis and passirg through the points (1, 5), (8., 12).
26. Prove that the equation
CIRCLES OF APPOLONIUS
87
%3D
solre in two ways.
14. Touching the line z
Solve in two ways.
Ans. Centers: (0, 2), (2, 4).
- 2y 3 at (-1, -2), and having a radius V5.
%3D
Ans. Centers: (0, -4), (-2,0).
enter on the line 3z +y = 7.
Ans. Centers: (2, 1), (1, 4).
Touching the lines z-y = 3, 7x +y = 5, and having ita center or
Ans. Centers: (3, 4), (7, –4)
1. Having a radius V85, through (5, 9), (1, -7). Solve in two #sy.
18. Having a radius V10, through (4, 1), (6, 3). Solve in two ways.
19. Touching the lines r + 2y = 4, r + 2y = 2, y = iz - 5.
20. Touching the circle z + y = 100 at (6, -8) and having a radius 15.
Ans. Centers:(-3, 4), (15, –20).
21. Touching the circle z? + y + 2x 6y +5 = 0 at (1, 2) and pa6sing
Ans. Center: (3, 1).
%3D
the line 27 + y = 10.
%3!
fkrough (4, -1).
tenter on the line y = 4x.
Ans. Centers: (1, 4), (G. .
%3D
n the line z+2y = 0.
Ans. Centers (0, 0). (10. -5).
Ans. Centers: (1 t V3-2).
%3D
4-4).
Ans. Centers: (1, -8), (5, 0).
(x + v)
(x+ y) x V
(x+ y) *
(x, + y.") *.
Ys
Tepresents the
I (, 1, (zs, Ya).
Transcribed Image Text:25. With radius 2 V5, tangent to the line y = 2r, and passing through 24. With radius 2, tangent to the x-axis, and passing through (1,-1). 23. With radius 1, tangent to the line 3r + 4y = 5, and having its center 22. With radius V2, tangent to the line r +y = 3, and having its 15. Touching the lines 3r + 4y = 12, 4x + 3y = 9, and having ita 13. Touching the line x +y = 4 at (1, 3,, and having a radiue V2 12. Touching the y-axis and passirg through the points (1, 5), (8., 12). 26. Prove that the equation CIRCLES OF APPOLONIUS 87 %3D solre in two ways. 14. Touching the line z Solve in two ways. Ans. Centers: (0, 2), (2, 4). - 2y 3 at (-1, -2), and having a radius V5. %3D Ans. Centers: (0, -4), (-2,0). enter on the line 3z +y = 7. Ans. Centers: (2, 1), (1, 4). Touching the lines z-y = 3, 7x +y = 5, and having ita center or Ans. Centers: (3, 4), (7, –4) 1. Having a radius V85, through (5, 9), (1, -7). Solve in two #sy. 18. Having a radius V10, through (4, 1), (6, 3). Solve in two ways. 19. Touching the lines r + 2y = 4, r + 2y = 2, y = iz - 5. 20. Touching the circle z + y = 100 at (6, -8) and having a radius 15. Ans. Centers:(-3, 4), (15, –20). 21. Touching the circle z? + y + 2x 6y +5 = 0 at (1, 2) and pa6sing Ans. Center: (3, 1). %3D the line 27 + y = 10. %3! fkrough (4, -1). tenter on the line y = 4x. Ans. Centers: (1, 4), (G. . %3D n the line z+2y = 0. Ans. Centers (0, 0). (10. -5). Ans. Centers: (1 t V3-2). %3D 4-4). Ans. Centers: (1, -8), (5, 0). (x + v) (x+ y) x V (x+ y) * (x, + y.") *. Ys Tepresents the I (, 1, (zs, Ya).
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