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If the normal at one end of latusrectum ...

If the normal at one end of latusrectum of an ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` passes through one end of minor axis then

A

`e+e^(2)=1`

B

`a^2 e^(4)+e^(2)=1`

C

`e^(4)-e^(2)=1`

D

`e^(4)-e^(2)=2`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
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  8. The mid point of the chord 3x - 2y + 8 = 0 of the ellipse 3x^(2) + 4y^...

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

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