If and are the eccentric angles of the extremities of a focal chord of an ellipse, then…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

If \(\pi \text { and } \beta\) are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is 
  1. \(\frac{\cos \pi+\cos \beta}{\cos (\pi-\beta)}\)
  2. \(\frac{\sin \pi-\sin \beta}{\sin (\pi+\beta)}\)
  3. \(\frac{\cos \pi-\cos \beta}{\cos (\pi+\beta)}\)
  4. \(\frac{\sin x+\sin \beta}{\sin (x+\beta)}\)

Answer

(D) x+ (x+ )

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