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^. Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) + bx+cy + d = 0 through three given points (1,0), (-1, 2), and (3, 1). Sketch appropriate picture. Find all equations of circles a(x² + y²) + bx + cy + d = 0 through two given points (-1,2), and (3, 1). Sketch appropriate pictures.

^. Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) + bx+cy + d = 0 through three given points (1,0), (-1, 2), and (3, 1). Sketch appropriate picture. Find all equations of circles a(x² + y²) + bx + cy + d = 0 through two given points (-1,2), and (3, 1). Sketch appropriate pictures.

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 28E
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. Use linear algebra techniques to find the center and the radius of the circle a (x² + y²) +bx+cy + d = 0 through three given points (1,0), (−1, 2), and (3, 1). Sketch appropriate picture. Find all equations of circles a(x² + y²) + bx + cy + d = 0 through two given points (-1,2), and (3, 1). Sketch appropriate pictures.
Transcribed Image Text:. Use linear algebra techniques to find the center and the radius of the circle a (x² + y²) +bx+cy + d = 0 through three given points (1,0), (−1, 2), and (3, 1). Sketch appropriate picture. Find all equations of circles a(x² + y²) + bx + cy + d = 0 through two given points (-1,2), and (3, 1). Sketch appropriate pictures.
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