3. 4. Circumscribing the triangle with vertices (a, U), (a, d), (U, %). 2a = 0. Ans. z2 + y+ ax- ay %D 5. Passing through the points (-1, <3), (-5, 3), and having its center Ans. (t+ 6) +(y + 2) = 26. 2) (2.0) and having its center on on the line z – - 2y +2 0.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Exercise question number 4 and 5
nate system, distance
No
10se
on
Exercises
In Exs. 1-25, find the equation of the circle.
1. Through (2, 3), (3, 4), (-1, 2). Solve by two methoda.
2. Through (3, 1), (5, 3), (-3, -1). Soive by two methods.
3. Circumscribing the triangle with vertices (-1,-4), (3, -2), (5. 2
4. Circumscribing the triangle with vertices (a, 0), (a, a), (0, 20).
Ans. z2 + y+ ax-
ay -2a2 0.
5. Passing through the points (-1, <3), (-5, 3), and having its center
on the line z -
6. Passing through the points (-4, -2), (2, 0), and having its center on
the line 5z 2y = 19.
7. Touching the line z + 2y = 8 at (0, 4) and passing through (3, 7).
2y +2
0.
Ans. (t+6)+(y +2): = 26.
%3D
%3D
Ans, 22 + y?
2x+14y 0.
%3D
Ans. (z- 1)2+ (y – 6)² = 5.
8. Touching the line 4z - 3y = 28 at (4, -4) and passing through
(-3, -5,.
9. Touching the line 3z -- 2y = 5 at (3, 2) and passing through (-2, 1).
10. Touching the line z +y = 8 at (2, 6) and passing through (4, 0).
11. Touching the z-axis and nassing through the points (3, 1), (10, 8).
%3D
Ans. 22 +y + 2y - 24-0.
Ans. Centers: (-2, 13), (6, 5).
Transcribed Image Text:nate system, distance No 10se on Exercises In Exs. 1-25, find the equation of the circle. 1. Through (2, 3), (3, 4), (-1, 2). Solve by two methoda. 2. Through (3, 1), (5, 3), (-3, -1). Soive by two methods. 3. Circumscribing the triangle with vertices (-1,-4), (3, -2), (5. 2 4. Circumscribing the triangle with vertices (a, 0), (a, a), (0, 20). Ans. z2 + y+ ax- ay -2a2 0. 5. Passing through the points (-1, <3), (-5, 3), and having its center on the line z - 6. Passing through the points (-4, -2), (2, 0), and having its center on the line 5z 2y = 19. 7. Touching the line z + 2y = 8 at (0, 4) and passing through (3, 7). 2y +2 0. Ans. (t+6)+(y +2): = 26. %3D %3D Ans, 22 + y? 2x+14y 0. %3D Ans. (z- 1)2+ (y – 6)² = 5. 8. Touching the line 4z - 3y = 28 at (4, -4) and passing through (-3, -5,. 9. Touching the line 3z -- 2y = 5 at (3, 2) and passing through (-2, 1). 10. Touching the line z +y = 8 at (2, 6) and passing through (4, 0). 11. Touching the z-axis and nassing through the points (3, 1), (10, 8). %3D Ans. 22 +y + 2y - 24-0. Ans. Centers: (-2, 13), (6, 5).
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