(a) Find the orthogonal trajectories of the family of curves x* + y - 6x y = constant. (6) Show that the curves r" = a sec ne and r" = B cosec n 0 cut orthogonallv.

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
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(a) Find the orthogonal trajectories of the family of curves
x* + y? - 6x y = constant.
(6b) Show that the curves r" = a sec ne and r" = B cosec n 0 cut orthogonallv.
Transcribed Image Text:(a) Find the orthogonal trajectories of the family of curves x* + y? - 6x y = constant. (6b) Show that the curves r" = a sec ne and r" = B cosec n 0 cut orthogonallv.
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