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5) A point P moves in the plane so that it is always equidistant from each of the points A = (3,2) and B = (5,-4). Find a simple equation that the coordinates (x, y) of P must satisfy. Hint: P being equidistant from A and B means that P is always an equal distance away from A and B. Hint: Compute the square of the distance from P to A and to B, respectively.

5) A point P moves in the plane so that it is always equidistant from each of the points A = (3,2) and B = (5,-4). Find a simple equation that the coordinates (x, y) of P must satisfy. Hint: P being equidistant from A and B means that P is always an equal distance away from A and B. Hint: Compute the square of the distance from P to A and to B, respectively.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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5) A point P moves in the plane so that it is always equidistant from each of the points A = (3,2) and B = (5,-4). Find a simple equation that the coordinates (x, y) of P must satisfy. Hint: P being equidistant from A and B means that P is always an equal distance away from A and B. Hint: Compute the square of the distance from P to A and to B, respectively.
Transcribed Image Text:5) A point P moves in the plane so that it is always equidistant from each of the points A = (3,2) and B = (5,-4). Find a simple equation that the coordinates (x, y) of P must satisfy. Hint: P being equidistant from A and B means that P is always an equal distance away from A and B. Hint: Compute the square of the distance from P to A and to B, respectively.
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