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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 33E
icon
Related questions
Question
100%

Please answer and show workings:)

2
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.
Transcribed Image Text:2 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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning