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.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 15CT
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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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