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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 74E
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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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