Curves (x- 1) (y- 2) =5 and (x - 1)^2 +(y + 2)^2= r^2, intersect at four points A, B, C and D. If centroid of tri(ABC) lies on line y = 3x- 4, then find the locus of point D.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Curves (x- 1) (y- 2) =5 and (x - 1)^2 +(y + 2)^2= r^2, intersect at four points A, B, C and D. If centroid of tri(ABC) lies on line y = 3x- 4, then find the locus of point D.

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