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The latus rectum LL^(') subtends a right...

The latus rectum `LL^(')` subtends a right angle at the centre of the ellipse, then its eccentricity is

A

`(sqrt(3)+1)/2`

B

`(sqrt(2)+1)/3`

C

`(sqrt(5)-1)/2`

D

`(sqrt(3)-sqrt(2))/2`

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DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. Let S, S^(') are the focii and BB^(') be the minor axis of an ellipse....

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  2. LL^(') is the latusrectum of an ellipse and DeltaSLL^(') is an equilat...

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  3. The latus rectum LL^(') subtends a right angle at the centre of the el...

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  4. If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), ...

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  5. An ellipse passing through (4sqrt(2), 2sqrt(6)) has foci at (-4, 0) a...

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  6. The eccentricity of the ellipse which meets the straight line x//7+y//...

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  7. The equations of the directrices of the ellipse 25x^(2)+9y^(2)-150x-90...

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  8. The equations of the latus recta of the ellipse 9x^(2) + 25y^(2) - 36x...

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  9. Equations of the latus recta of the ellipse 9x^(2)+4y^(2)-18x-8y-23=0 ...

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  10. The equation of the axes of the ellipse 25x^(2)+9y^(2)-150x-90y+225=0 ...

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  11. If P is a point on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 whose foci ar...

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  12. If P is a point on the ellipse 9x^(2)+36y^(2)=324 whose foci are S and...

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  13. If P(x,y), S(3,0), S^(')(-3,0) " and "16x^(2)+25y^(2)=400, " then "PS+...

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  14. If P is a point on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 whose foci ar...

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

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  16. If S and S'' are the foci of the ellipse (x^(2))/(25) + (y^(2))/(16) =...

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  17. A man running round a race course notes that the sum of the distances ...

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  18. P is a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1...

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  19. The sides of the rectangle of greatest area that can be inscribed in t...

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  20. The equation x^(2)/(r-2)+y^(2)/(5-r)= 1 represents an ellipse if

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