Home
Class 11
MATHS
Show that the eccentricities of the two ...

Show that the eccentricities of the two hyperbolas`(x^(2))/(16) - (y^(2))/(9) = 1 and (x^(2))/(64) - (y^(2))/(36) = 1` are equal.

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|1 Videos
  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|37 Videos
  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUESTIONS|20 Videos
  • DIAGRAMMATIC REPRESENTATION OF DATA

    CHHAYA PUBLICATION|Exercise EXERCISE (Very short Answer Type Question)|7 Videos
  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

Show that the eccentricities of the hyperbolas x^2/16-y^2/9=1 and x^2/64-y^2/36=1 are equal.

The eccentricity of the hyperbola x^2-y^2=4 is

Find the ratio of the eccentricities of the hyperbolas 2x^(2) - 3y^(2) = 1 and 3x^(2) - 2y^(2) = 1

The eccentricity of the hyperbola 4x^(2)-9y^(2) =36 is:

If e is the eccentricity of the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 , then e =

The eccentricity of the hyperbola 9x^(2) -4y^(2) + 36 = 0 is

If e_1 is the eccentricity of the hyperbola (y^(2))/(b^(2)) - (x^(2))/(a^(2)) = 1 then e_(1) =

If e_(1) and e_(2) be the eccentricities of the hyperbolas 9x^(2) - 16y^(2) = 576 and 9x^(2) - 16y^(2) = 144 respectively, then -

Find the angle between the asymptotes of the hyperbola (x^2)/(16)-(y^2)/9=1 .

CHHAYA PUBLICATION-HYPERBOLA-VERY SHOT ANSWER TYPE QUESTIONS
  1. Explain what geometrical diagrams are represented by the equatio (x^(2...

    Text Solution

    |

  2. Show that the eccentricity of any rectagular hyperbola is sqrt(2).

    Text Solution

    |

  3. Find the eccentricity, coordinates of the foci and the equations of th...

    Text Solution

    |

  4. Show that the eccentricities of the two hyperbolas(x^(2))/(16) - (y^(2...

    Text Solution

    |

  5. Find the coordinates of the foci of the hyperboala x^(2) - y^(2) + 1 =...

    Text Solution

    |

  6. Find the eccentricity, and the length of latus rectum of the hyperbola...

    Text Solution

    |

  7. Find the length of latus rectum and the equations of the directrices o...

    Text Solution

    |

  8. What type of conic is represented by the equation x^(2) - y^(2) = 4? W...

    Text Solution

    |

  9. If the length of conjugate axis and the length of latus rectum of a hy...

    Text Solution

    |

  10. If the length of latus rectum of a rectangular hyperbola is 6 unit, fi...

    Text Solution

    |

  11. If the latus rectum and the transverse axis of a hyperbola are equal, ...

    Text Solution

    |

  12. Find the position of the following points with respect to the hyperbol...

    Text Solution

    |

  13. Find the position of the point (7,2) with respect to the hyperbola 9x^...

    Text Solution

    |

  14. Show that the locus of the point of intersection of the lines (x)/(a)-...

    Text Solution

    |

  15. Find the parametric coordinates of the point ((1)/(sqrt(3)),(1)/(sqrt(...

    Text Solution

    |

  16. Prove that the equations x = 6(cosec t + sin t ) and y = 15(cosec t - ...

    Text Solution

    |