11 A circle C passes through the origin and has its centre at the point (3,-3). a. Obtain the equation of the circle C. b. If the line y =x-6 meets the circle C at the points P and Q, determine the coordinates of P and Q. c. Find the coordinates of the points on the circle C where the tangents are parallel to the line PQ.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.1: The Unit Circle
Problem 1E
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Q11
11. a. (x-3) +(y+3)° = 18
b. (0,-6) &(6,0)
(0,0) &(6,-6)
с.
Transcribed Image Text:11. a. (x-3) +(y+3)° = 18 b. (0,-6) &(6,0) (0,0) &(6,-6) с.
11 A circle C passes through the origin and has its centre at the point (3,-3).
a. Obtain the equation of the circle C.
b. If the line y=x-6 meets the circle C at the points P and Q, determine the coordinates of P and
Q.
c. Find the coordinates of the points on the circle C where the tangents are parallel to the line PQ.
Transcribed Image Text:11 A circle C passes through the origin and has its centre at the point (3,-3). a. Obtain the equation of the circle C. b. If the line y=x-6 meets the circle C at the points P and Q, determine the coordinates of P and Q. c. Find the coordinates of the points on the circle C where the tangents are parallel to the line PQ.
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