Refer to the image below. The distance of point P(x, y) to a fixed line x = -3 is equal to its distance from a fixed point P(-1, 0). If point P(x, y) moves along a path such that its distance from the fixed point P(-1, O) is equal to its distance from the fixed line x = -3, what will be its locus' general equation? Hint: I'm a conic. 1. 3 x = -3 2 y P(x,y) P(-1,0) -2 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Refer to the image below. The distance
of point P(x, y) to a fixed line x = -3 is equal to
its distance from a fixed point P(-1, 0). If point
P(x, y) moves along a path such that its
distance from the fixed point P(-1, O) is equal to
its distance from the fixed line x = -3, what will
be its locus' general equation? Hint: I'm a conic.
1.
3
x = -3
2
y
P(x,y)
P(-1,0)
-2
3-
2.
Transcribed Image Text:Refer to the image below. The distance of point P(x, y) to a fixed line x = -3 is equal to its distance from a fixed point P(-1, 0). If point P(x, y) moves along a path such that its distance from the fixed point P(-1, O) is equal to its distance from the fixed line x = -3, what will be its locus' general equation? Hint: I'm a conic. 1. 3 x = -3 2 y P(x,y) P(-1,0) -2 3- 2.
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