If $\alpha $ and $\beta $ are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is
If $\alpha $ and $\beta $ are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is
- A
$\frac{{\cos \,\alpha \, + \,\cos \,\beta }}{{\cos \,\left( {\alpha \, - \,\beta } \right)}}$
- B
$\frac{{\sin \,\alpha \, - \,\sin \,\beta }}{{\sin \,\left( {\alpha \, - \,\beta } \right)}}$
- C
$\frac{{\cos \,\alpha \, - \,\cos \,\beta }}{{\cos \,\left( {\alpha \, - \,\beta } \right)}}$
- D
$\frac{{\sin \,\alpha \, + \,\sin \,\beta }}{{\sin \,\left( {\alpha \, + \,\beta } \right)}}$
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- [JEE MAIN 2021]
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