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(d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of points in space that lie 2 units units from the point (0, 0, -1). from the point (0, 0, 1) and, at the same time, 2

(d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of points in space that lie 2 units units from the point (0, 0, -1). from the point (0, 0, 1) and, at the same time, 2

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
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2. Describe the given set with a single equation or with a pair of equations. (a) The plane through the point (3,-1, 2) perpendicular to the i. x-axis ii. y-axis iii. z-axis (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii. xz-plane (c) The circle of radius 1 centered at (-3, 4, 1) and lying in a plane parallel to the i. xy-plane ii. yz-plane iii. xz-plane (d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of points in space that lie 2 units from the point (0, 0, 1) and, at the same time, 2 units from the point (0, 0, -1).
Transcribed Image Text:2. Describe the given set with a single equation or with a pair of equations. (a) The plane through the point (3,-1, 2) perpendicular to the i. x-axis ii. y-axis iii. z-axis (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii. xz-plane (c) The circle of radius 1 centered at (-3, 4, 1) and lying in a plane parallel to the i. xy-plane ii. yz-plane iii. xz-plane (d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of points in space that lie 2 units from the point (0, 0, 1) and, at the same time, 2 units from the point (0, 0, -1).
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