Find the orthogonal trajectories for the family of ellipses with centers at the origin and horizontal major axis equal to 2. A) 2x? + y2 = 4 In|cx| B) 2r2 +1y2 C) x? + y? = 2 In|cx| D) 4r2 + v2 - 8 Inlcrl %3D 2 Inlcr!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Find the orthogonal trajectories for the family of ellipses with
centers at the origin and horizontal major axis equal to 2.
A) 2x2 + y?
B) 2x2 + y2 = 2 In|cx|
C) x? + y? = 2 In|cx|
D) 4x2 + y? = 8 In|cx|
= 4 In|cx|
Transcribed Image Text:Find the orthogonal trajectories for the family of ellipses with centers at the origin and horizontal major axis equal to 2. A) 2x2 + y? B) 2x2 + y2 = 2 In|cx| C) x? + y? = 2 In|cx| D) 4x2 + y? = 8 In|cx| = 4 In|cx|
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