A circle with centre C has equation x+y -6x+4y+4 = 0. (a) Find (i) the coordinates of C, (ii) the radius of the circle. (b) Determine the set of values of k for which the line y = kx- 3 does not intersect or touch the circle.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
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A circle with centre C has equation x² +y² – 6x+4y+4 = 0.
(a) Find
(i) the coordinates of C.
(ii) the radius of the circle.
(b) Determine the set of values of k for which the line y= kx– 3 does not intersect or touch the
circle.
2.
Transcribed Image Text:A circle with centre C has equation x² +y² – 6x+4y+4 = 0. (a) Find (i) the coordinates of C. (ii) the radius of the circle. (b) Determine the set of values of k for which the line y= kx– 3 does not intersect or touch the circle. 2.
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