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If e1 and e2 are the eccentricities of a...

If e1 and e2 are the eccentricities of a hyperbola and its conjugates then ,

A

`e_1^(2) +e_2^(2) =3`

B

` e_1 +e_2 =4`

C

` e_1^(2) +e_2^(2) =e_1^(2) e_2^(2) `

D

` e_1=e_2 `

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The eccentricity of the hyperbola whose length of the latus rectum is ...

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  2. If e and e' are the ecentricity of the hyperbola x^(2)//a^(2) -y^(2) ...

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  3. If e1 and e2 are the eccentricities of a hyperbola and its conjugates ...

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  4. If the eccentricities of a hyperbola is sqrt3 ,then the eccentricity...

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  5. If e and e1 are the eccentricities of the hyperbola xy=c^(2) ,x^(2) ...

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  6. If (5,12), (24,7) are the foci of the hyperbola passing through origin...

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  7. The distance between the foci is 4sqrt (13) and the length of conjuga...

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  8. The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(...

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

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

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

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

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

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

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

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

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

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

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

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

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