Home
Class 11
MATHS
Write the equation of the hyperbola of e...

Write the equation of the hyperbola of eccentricity `sqrt(2)` if it is known that the distance between its foci is 16.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|22 Videos
  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|113 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola whose eccentricity is sqrt(2) and the distance between the foci is 16, taking transverse and conjugate axes of the hyperbola as x and y-axes respectively.

(i) Find the equation of hyperbola whose eccentricity is sqrt((13)/(12)) and the distance between foci is 26. (ii) The foci of a hyperbola coincide of the ellipse 9x^(2)+25y^(2)=225 . If the eccentricity of the hyperbola is 2, then find its equation.

The equation to the hyperbola having its eccentricity 2 and the distance between its foci is 8 is

Equation of the hyperbola of eccentricity 3 and the distance between whose foci is 24 is

Find the equation of the hyperbola, referred to its axes as the axes of coordinates, the distance between whose foci is 4 and whose eccentricity is sqrt2,

Find th equation of the hyperbola eccentricity is 2 and the distance between foci 16.

Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

Find the equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13.

Equation of the hyperbola with foci (+-2 ,0) and eccentricity 3/2 is

RD SHARMA ENGLISH-HYPERBOLA-All Questions
  1. Find the eccentricity of the hyperbola whose latusrectum is half of it...

    Text Solution

    |

  2. Write the coordinates of the foci of the hyperbola 9x^2-16 y^2=144.

    Text Solution

    |

  3. Write the equation of the hyperbola of eccentricity sqrt(2) if it is k...

    Text Solution

    |

  4. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  5. Write the length of the latus rectum of the hyperbola 16 x^2-9y^2=144.

    Text Solution

    |

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

    Text Solution

    |

  7. Write the distance between the directrices of the hyperbola x=8s e cth...

    Text Solution

    |

  8. Write the equation of the hyperbola whose vertices are (+-3,0) and foc...

    Text Solution

    |

  9. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^...

    Text Solution

    |

  10. Equation of the hyperbola whose vertices are (+-3,0) and foci at (+-5,...

    Text Solution

    |

  11. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^2...

    Text Solution

    |

  12. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

    Text Solution

    |

  13. The equation of the conic with focus at (1,-1) directrix along x-y+1=0...

    Text Solution

    |

  14. The eccentricity of the conic 9x^2-16 y^2=144 is a.5/4 b. 4/3 c. 4/5 d...

    Text Solution

    |

  15. A point moves in a plane so that its distance PA and PB from who fixed...

    Text Solution

    |

  16. The eccentricity of the hyperbola whose latus rectum is half of its ...

    Text Solution

    |

  17. The eccentricity of the hyperbola x^2-4y^2=1 is a.(sqrt(3))/2 b. (s...

    Text Solution

    |

  18. The difference of the focal distances of anypoint on the hyperbola is ...

    Text Solution

    |

  19. The foci of the hyperbola 9x^2-16 y^2=144 are a.(+-4,0) b. (0,+-4) c. ...

    Text Solution

    |

  20. The distance between the foci of a hyperbola is 16 and its eccentricit...

    Text Solution

    |