The coordinates of the points A and B are (5, 7) and (13, 1) respectively. Let P be a moving point in the rectangular coordinate plane such that P is equidistant from A and B. Denote the locus of P by I. (a) Find the equation of I. (b) T'intersects the x-axis and the y-axis at H and K respectively. Denote the origin by O. Let C be the circle which passes through O, H and K. Someone claims that the circumference of C exceeds 30. Is the claim correct? Explain your answer.
The coordinates of the points A and B are (5, 7) and (13, 1) respectively. Let P be a moving point in the rectangular coordinate plane such that P is equidistant from A and B. Denote the locus of P by I. (a) Find the equation of I. (b) T'intersects the x-axis and the y-axis at H and K respectively. Denote the origin by O. Let C be the circle which passes through O, H and K. Someone claims that the circumference of C exceeds 30. Is the claim correct? Explain your answer.
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 1CT
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Hi, its for my review and I dont seem to find the answer, can anyone help me? Thank you
Transcribed Image Text:The coordinates of the points A and B are (5, 7) and (13, 1) respectively. Let P be
a moving point in the rectangular coordinate plane such that P is equidistant
from A and B. Denote the locus of P by I'.
(a) Find the equation of I'.
(b) T'intersects the x-axis and the y-axis at H and K respectively. Denote the
origin by O. Let C be the circle which passes through O, H and K. Someone
claims that the circumference of C exceeds 30. Is the claim correct? Explain
your answer.
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