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If the latus rectum of a hyperbola forms...

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the centre of the hyperbola , then its accentricity e=

A

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

B

` (sqrt(11)+1)/( 2) `

C

` (sqrt( 13)+1)/( 2sqrt3)`

D

` (sqrt(13)-1)/( 2sqrt3) `

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(...

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  2. If the latusrectum subtends a right angle at the centre of the hyperbo...

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  3. If the latus rectum of a hyperbola forms an equilateral triangle with ...

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  4. If the latus rectum of a hyperbola through one focus subtends 60^(@) ...

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  5. If the latus rectum through one focus subtends a right angle at the fa...

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  6. The latus rectum of a hyperbola (x^(2))/( 16) -(y^(2))/( p) =1 is 4(1...

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  7. Let LL' be the latus rectum through the focus S of a hyperbola and A '...

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  8. The eccentricity of the hyperbola x= ( a)/(2) ( t+1//t), y=(a)/(2) (...

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  9. The locus of the point ( (e^(t) +e^(-t))/( 2),(e^t-e^(-t))/(2)) is a h...

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  10. The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y ...

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  11. The equations of the latus recta of the hyperbola 9x^(2) -16y^(2) -18...

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  12. The equation of the conjugate axis of the hyperbola ((x-5)^(2))/(16) -...

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  13. The equation of transverse axis of the hyperbola 5x^(2) -4y^(2) -30x ...

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  14. The equation of the axes of the hyperbola 9x^(2) -16y^(2) +72x -32y -1...

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  15. The equation of the hyperbola whose eccentricity 2 and foci are the fo...

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  16. PN is the ordinate of any point P on the hyperbola x^(2)//a^(2) -y^(2...

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  17. If the foci of the ellips (x^(2))/( 25)+ ( y^(2))/( 16) =1 and the hy...

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  18. The foci of the ellips (x^(2))/( 16) +(y^(2))/( b^(2) ) =1 and the h...

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  19. For the hyperbola (x^(2))/( cos ^(2) alpha ) -(y^(2))/(sin^(2) alpha ...

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  20. A hyperbola passes through a focus of the ellips (x^(2))/(169) +(y^(2...

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