A circle C has centre (2, 1) and passes through the point (6, 4). (a) What is the radius of C? (b) Find the points of intersection of C with the line having equation y = x − 3. (c) A circle C has centre (3, 2) and radius 3. Find the points of intersection of C with the line having equation y = x − 1.

A circle C has centre (2, 1) and passes through the point (6, 4). (a) What is the radius of C? (b) Find the points of intersection of C with the line having equation y = x − 3. (c) A circle C has centre (3, 2) and radius 3. Find the points of intersection of C with the line having equation y = x − 1.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 51E

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Question

A circle C has centre (2, 1) and passes through the point (6, 4).
(a) What is the radius of C?
(b) Find the points of intersection of C with the line having equation y = x − 3.

(c) A circle C has centre (3, 2) and radius 3. Find the points of intersection of C with the line
having equation y = x − 1.

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

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