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The standard equation of a circle is: 1.1 x² + y² + Ax+By+C =0 Show that the following systems of linear equations must be satisfied when the circle passes through the points (-2; 4) (3; -1) and (6; 8): 2A-4BC = 20 3A B + C = -10 (6A + 8B + C = -100 (2) { Solve the system (Z) by using Gaussian elimination with back substitution, by using elementary row operations (do not use matrices). Give the equation of the circle in standard form (as above) Give the coordinates of the centre of the circle. Write down the radius of the circle.

The standard equation of a circle is: 1.1 x² + y² + Ax+By+C =0 Show that the following systems of linear equations must be satisfied when the circle passes through the points (-2; 4) (3; -1) and (6; 8): 2A-4BC = 20 3A B + C = -10 (6A + 8B + C = -100 (2) { Solve the system (Z) by using Gaussian elimination with back substitution, by using elementary row operations (do not use matrices). Give the equation of the circle in standard form (as above) Give the coordinates of the centre of the circle. Write down the radius of the circle.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The standard equation of a circle is: 1.1 x² + y² + Ax+By+C =0 Show that the following systems of linear equations must be satisfied when the circle passes through the points (-2; 4) (3; -1) and (6; 8): 2A-4BC = 20 3A B + C = -10 (6A +8B + C = -100 (2) { Solve the system (Z) by using Gaussian elimination with back substitution, by using elementary row operations (do not use matrices). Give the equation of the circle in standard form (as above) Give the coordinates of the centre of the circle. Write down the radius of the circle.
Transcribed Image Text:The standard equation of a circle is: 1.1 x² + y² + Ax+By+C =0 Show that the following systems of linear equations must be satisfied when the circle passes through the points (-2; 4) (3; -1) and (6; 8): 2A-4BC = 20 3A B + C = -10 (6A +8B + C = -100 (2) { Solve the system (Z) by using Gaussian elimination with back substitution, by using elementary row operations (do not use matrices). Give the equation of the circle in standard form (as above) Give the coordinates of the centre of the circle. Write down the radius of the circle.
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