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If the chord joining two points whose eccentric angles are `alpha` and `beta` cut the major axis of an ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` at a distance from the centre then `tan (alpha)/(2).tan (beta)/(2)` =

A

`(1+e)/(1-e)`

B

`(e+1)/(e-1)`

C

`(e-1)/(e+1)`

D

both 2&3

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The correct Answer is:
D
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AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
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  9. The distance of a point on the ellipse x^(2) + 3y^(2) = 6 from its cen...

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  10. The equation of the tangent at a point theta=3pi//4 to the ellipse x^(...

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  11. The equation of the normal to the ellipse at the point whose eccentri...

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  12. P is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 S and S...

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  13. If the chord joining two points whose eccentric angles are alpha and ...

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  14. If alpha and beta are the eccentric angles of the ends of a focal chor...

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  15. The minimum area of triangle formed by the tangent to the ellipse (x^(...

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  16. If a tangent to the ellipse meets major and minor axis at M and N resp...

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  17. The locus of the variable point P for which the chord of contact of to...

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  18. If pi+theta is the eccentric angle of a point on the ellipse 16x^(2)+2...

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  19. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

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  20. If y = mx + c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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