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Find the orthogonal trajectories of ellipses. I have tried it but couldn't get . My doubt is: in place of y' we write -1/y' but v also have y'' right what should be there in its place

Sweta
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  • Hint: see elliptic coordinates in another answer here – Ng Chung Tak Apr 22 '18 at 03:01
  • You don't have to reduce the equation of your ellipse till second derivative, just use it till first derivative, and then replace y'with -1/y' and use your given equation to find the orthogonal trajectory. – Vivek Apr 22 '18 at 05:11
  • I still didn't get it can u pls solve it @Doraemon – Sweta Apr 24 '18 at 01:55
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    I can show you Orthogonal Trajectory of Ellipse in which semi major and minor axis are dependent. For example, a^2= c^2 ,b^2=c^2-1:As in this case you don't have to go for y". – Vivek Apr 24 '18 at 15:06
  • @Doraemon thanks a lot – Sweta Apr 25 '18 at 15:54

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