1. A circle with centre C has equation x² + y² − 6x + 4y = 12. (a) By completing the square, express this equation in the form (x − a)² + (y − b)² = r² (b) Write down: (i) the coordinates of C; (ii) the radius of the circle. Another circle has centre C (-3, 3) and radius 5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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Q1. A circle with centre C has equation x² + y² − 6x + 4y = 12.
(a) By completing the square, express this equation in the form
(x-a)² + (y-b)² = r²
(b)
Write down:
(i) the coordinates of C; (ii) the radius of the circle.
Another circle has centre C (-3, 3) and radius 5.
(c)
Express the equation of the circle in the form
(x − a)² + (y - b)² = k
Find the x-coordinates of the points where the circle crosses the x-axis.
(d)
Transcribed Image Text:Q1. A circle with centre C has equation x² + y² − 6x + 4y = 12. (a) By completing the square, express this equation in the form (x-a)² + (y-b)² = r² (b) Write down: (i) the coordinates of C; (ii) the radius of the circle. Another circle has centre C (-3, 3) and radius 5. (c) Express the equation of the circle in the form (x − a)² + (y - b)² = k Find the x-coordinates of the points where the circle crosses the x-axis. (d)
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