Number 15

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Number 15
25. With radius 2 V5, tangent to the line y = 2r, and passing through
13. Touching the line r + y = 4 at (1, 3, and having a radius 2
Solve Exs. 27-30 by the formula of Ex. 26.
12. Touching the y-axis and passirg through the points (1, 5), (8, 12).
24. With radius 2, tangent to the x-axis, and passing through (1, –1).
repreaents the circle through (1, Y1), (a, Ya), (24, ya).
15. Touching the lines 3r + 4y = 12, 4x + 3y = 9, and having ita
CIRCLES OF APPOLONIUS
$531
87
%3D
Solve in two ways.
14. Touching the line r -
Solve in two ways.
Ans. Centers: (0, 2), (2, 4).
2y = 3 at (-1, -2), and having a radius V5.
Ans. Centers: (0, -4), (-2, 0).
%3D
center on the line 3x + y = 7.
16. Touching the lines z - y == 3, 7x +y = 5, and having its center or
Ans. Centers: (2, 1), (1, 4).
10.
the line 2x + y=
17. Having a radius V85, through (5, 9), (1, –7). Solve in two #asy..
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 z- 5.
20. Touching the circle z + y* 100 at (6, -8) and having a radiius 15.
Ans. Centers: (3, 4), (7, –4)
%3D
%3D
Ans. Centers: (-3, 4), (15, –20).
21. Touching the circle r + y + 2x - 6y +5 0 at (1, 2) and passing
through (4, –1).
Ans. Center: (3, 1).
2. With radius V2, tangent to the line r +y = 3, and ha ving its
center on the line y = 4x.
Ans. Centers: (1, 4), (§. Đ.
with radius 1, tangent to the line 3r + 4y = 5, and having ite center
on the line z + 2y = 0.
%3D
Ans. Centers (0, 0), (10. -5).
Ans. Centers: (1 ± V3, -2).
(3,-4).
26. Prove that the equation
Ans. Centers: (1, -8), (5, 0).
(x+v)
(x,+y) x VA
(x,+y) *
| (x,+y.") *
ye 1
27. Ex. 1.
30. Еx. 4.
29. Ex. 3.
uation of first
Transcribed Image Text:25. With radius 2 V5, tangent to the line y = 2r, and passing through 13. Touching the line r + y = 4 at (1, 3, and having a radius 2 Solve Exs. 27-30 by the formula of Ex. 26. 12. Touching the y-axis and passirg through the points (1, 5), (8, 12). 24. With radius 2, tangent to the x-axis, and passing through (1, –1). repreaents the circle through (1, Y1), (a, Ya), (24, ya). 15. Touching the lines 3r + 4y = 12, 4x + 3y = 9, and having ita CIRCLES OF APPOLONIUS $531 87 %3D Solve in two ways. 14. Touching the line r - Solve in two ways. Ans. Centers: (0, 2), (2, 4). 2y = 3 at (-1, -2), and having a radius V5. Ans. Centers: (0, -4), (-2, 0). %3D center on the line 3x + y = 7. 16. Touching the lines z - y == 3, 7x +y = 5, and having its center or Ans. Centers: (2, 1), (1, 4). 10. the line 2x + y= 17. Having a radius V85, through (5, 9), (1, –7). Solve in two #asy.. 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 z- 5. 20. Touching the circle z + y* 100 at (6, -8) and having a radiius 15. Ans. Centers: (3, 4), (7, –4) %3D %3D Ans. Centers: (-3, 4), (15, –20). 21. Touching the circle r + y + 2x - 6y +5 0 at (1, 2) and passing through (4, –1). Ans. Center: (3, 1). 2. With radius V2, tangent to the line r +y = 3, and ha ving its center on the line y = 4x. Ans. Centers: (1, 4), (§. Đ. with radius 1, tangent to the line 3r + 4y = 5, and having ite center on the line z + 2y = 0. %3D Ans. Centers (0, 0), (10. -5). Ans. Centers: (1 ± V3, -2). (3,-4). 26. Prove that the equation Ans. Centers: (1, -8), (5, 0). (x+v) (x,+y) x VA (x,+y) * | (x,+y.") * ye 1 27. Ex. 1. 30. Еx. 4. 29. Ex. 3. uation of first
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