Home
Class 12
MATHS
If e and e1 are the eccentricities of t...

If e and `e_1` are the eccentricities of the hyperbola ` xy=c^(2) ,x^(2) -y^(2) =c^(2) "then" e^(2) +e_1^(2) ` is equal to

A

1

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B|32 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 1|4 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

Similar Questions

Explore conceptually related problems

If e_(1) and e_(2) are eccentricities of the hyperbolas xy=c^(2) and x^2-y^(2)=a^(2) then e_(1)^(2)+e_(2)^(2)=0

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

If e and e' are the ecentricity of the hyperbola x^(2)//a^(2) -y^(2) //b^(2) =1 and its conjugate HYPERBOLA then [ 1/e^{2} + 1/(e'^{2}) ]

If e and e^1 are the eccentricities of the ellipse 5x^(2)+9y^(2)=45 and the hyperbola 5x^(2)-4y^(2)=45" then "e e^(1)=

y=x+e^x , then (d^2x)/(dy^2) is equal to

If e_(1), e_(2) are respectively the eccentricities of the curves 9 x^(2) - 16y^(2) - 144 = 0 and 9x^(2) - 16y^(2) + 144 = 0 then (e_(1)^(2)e_(2)^(2))/(e_(1)^(2)+e_(2)^(2)) =

If e_1, e_2 , are the eccentricities of a hyperbola, its conjugate hyperbola, prove that (1)/(e_1^2)+(1)/(e_2^2)=1 .

If e_(1) and e_(2) are the eccentricites of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(b^(2))+(y^(2))/(a^(2))=1 respectively then

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. If e1 and e2 are the eccentricities of a hyperbola and its conjugates ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |