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IIT JEE CONIC SECTIONS If `omega` is one of the angles between the normals to the ellipse `(x^2...

111 views · Published 26 September 2017 · 6:15 · Indexed 21 September 2026

Channel: Doubtnut · 2017 · Education

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This is the Solution of question from Cengage Publication Math Book Coordinate Geometry Chapter 6 CONIC SECTIONS written By G. Tewani. You can Find Solution of all math questions from CENGAGE BOOK on our app DOUBTNUT for free. Download Doubtnut from - https://doubtnut.app.link/pamwEtSYvR

If `omega`
is one of
 the angles between the normals to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1`
at the
 point whose eccentric angles are `theta`
and `pi/2+theta`
, then prove that `(2cotomega)/(sin2theta)=(e^2)/(sqrt(1-e^2))`

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