Home
Class 11
MATHS
Consider the ellipse x^2/4+y^2/3=1 and t...

Consider the ellipse `x^2/4+y^2/3=1` and the hyperbola `x^2/64-y^2/b^2=1`. Find the eccentricity of the ellipse

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|160 Videos

  • CONIC SECTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|61 Videos

Similar Questions

Explore conceptually related problems

Consider the ellipse x^2/4+y^2/3=1 and the hyperbola x^2/64-y^2/b^2=1 .Find the eccentricity of the hyperbola

Consider the ellipse x^2/4+y^2/3=1 and the hyperbola x^2/64-y^2/b^2=1 .If the eccentricities of ellipse and hyperbola are reciprocals to each other, find b^2

For the hyperbola 9x^2-16y^2=144 find eccentricity.

Consider the ellipse x^2/9+y^2/4=1 and the line x/3+y/2=1 Find the points where the line intersects the ellipse ?

If the eccentricities of the ellipse x^(2)/4+y^(2)/3=1 and the hyperbola x^(2)/64-y^(2)/b^(2)=1 are reciprocals of each other, then b^(2) is equal to :a)192 b)64 c)16 d)32

Consider the ellipse x^2/9+y^2/4=1 and the line x/3+y/2=1 find the area of the shaded region ?

Consider the ellipse x^2/9+y^2/4=1 and the line x/3+y/2=1 shade the smaller region bounded by the ellipse and the line ?

Find eccentricity of the ellipse 12x^(2)+7y^(2)=84

The foci of a hyperbola coincide with the foci of the ellipse x^2/25+y^2/9=1 .Find the equation of the hyperbola if its eccentricity is 2.

A N EXCEL PUBLICATION-CONIC SECTION-QUESTION BANK
  1. Find the equation of the hyperbola having foci (0,+-sqrt10) and which ...

    Text Solution

    |

  2. Express the equation 16x^2-9y^2=144 of a hyperbola in standard form

    Text Solution

    |

  3. Find the length of transverse axis and conjute axis, eccentricity and ...

    Text Solution

    |

  4. Express the equation 3x^2-y^2=4 of a hyperbola in standard form

    Text Solution

    |

  5. Find the eccentricity, vertices, foci, equations to the directrices, l...

    Text Solution

    |

  6. Consider the hyperbola x^2/a^2-y^2/b^2=1 If the hyperbola passes thr...

    Text Solution

    |

  7. Consider the hyperbola x^2/a^2-y^2/b^2=1 If the hyperbola passes thr...

    Text Solution

    |

  8. Suppose x=(e^t+e^-t)/2 and y=(e^t-e^-t)/2 are the parametric equations...

    Text Solution

    |

  9. Suppose x=(e^t+e^-t)/2 and y=(e^t-e^-t)/2 are the parametric equations...

    Text Solution

    |

  10. Complete the following table (##ANEPMPMAT0XIC11E04009Q01##)

    Text Solution

    |

  11. Consider the ellipse x^2/4+y^2/3=1 and the hyperbola x^2/64-y^2/b^2=1....

    Text Solution

    |

  12. Consider the ellipse x^2/4+y^2/3=1 and the hyperbola x^2/64-y^2/b^2=1....

    Text Solution

    |

  13. Consider the ellipse x^2/4+y^2/3=1 and the hyperbola x^2/64-y^2/b^2=1....

    Text Solution

    |

  14. If a parabolic reflector is 20cm in a diameter and 5cm deep, find the ...

    Text Solution

    |

  15. An arch is in the form of a parabola with its axis vertical. The arch ...

    Text Solution

    |

  16. An arch is in the form of a semi-ellipse. It is 8m wide and 2m high at...

    Text Solution

    |

  17. A rod of length 12 cm moves with its ends always touching the co-ordin...

    Text Solution

    |

  18. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  19. A man running a race course notes that the sum of the distances from t...

    Text Solution

    |

  20. An equilateral triangle is inscribed in the parabola y^2 =4ax whose on...

    Text Solution

    |