Home
Class 11
MATHS
Find the equation of the ellipse referre...

Find the equation of the ellipse referred to its axes as the axes of co-ordinates :
whose major axis = 8 and eccentricity = `1/2` .

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose major axis =6 and minor axis = 4 .

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose latus-rectum is 5 and eccentricity 2/3 .

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose foci are (2, 0), (-2, 0) and latus-rectum is 6.

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : which passes through the points ( - 2, 1) and eccentricity = sqrt (2/5)

Find the equation of the hyperbola, referred to its axes as each of co-ordinates if : distance between foci is 5 and conjugate axis is 3.

Find the equation of the hyperbola, referred to its axes as each of co-ordinates if : conjugate axis is 5 and passes through the point (1, -2).

Find the equation of an ellipse whose axes lie along the coordinate axes, which passes through the point (-3,1) and has eccentricity equal to sqrt(2//5)dot

Find the equation of the ellipse refer to its centre whose minor axis is equal to distance between the foci and latus rectum is 10.

Find the equation of the ellipse whose focus is (1,-1), the corresponding directrix is x-y-3=0, and eccentricity is 1/2 .

Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose semi-minor axes is sqrt5 .

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Find the equation of the ellipse satisfying the given condition : Ax...

    Text Solution

    |

  2. Find the equation of the ellipse referred to its axes as the axes of c...

    Text Solution

    |

  3. Find the equation of the ellipse referred to its axes as the axes of c...

    Text Solution

    |

  4. Find the equation of the ellipse referred to its axes as the axes of c...

    Text Solution

    |

  5. Find the equation of an ellipse whose axes lie along the coordinate ...

    Text Solution

    |

  6. Find the equation of the ellipse referred to its axes as the axes of c...

    Text Solution

    |

  7. Find the equation of the ellipse referred to its axes as the axes of c...

    Text Solution

    |

  8. Find the eccentricity of the ellipse if : the latus-rectum is one ha...

    Text Solution

    |

  9. Find the eccentricity of the ellipse if : the latus-rectum is one ha...

    Text Solution

    |

  10. Find the eccentricity of the ellipse if : the distance between the f...

    Text Solution

    |

  11. Find the equation of the ellipse refer to its centre whose minor axis ...

    Text Solution

    |

  12. Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose...

    Text Solution

    |

  13. Find the equation of the set of all points whose distances from (0, 4)...

    Text Solution

    |

  14. Show that : 4x^2+16y^2-24x-32y=12 is the equation of ellipse, and find...

    Text Solution

    |

  15. Show that 4x^2+8x+y^2-4y+4=0 represents an ellipse. Find its eccentric...

    Text Solution

    |

  16. Show that 4x^2+8x+y^2-4y+4=0 represents an ellipse. Find its eccentric...

    Text Solution

    |

  17. Find the centre, length of the axes, eccentricity and foci of the elli...

    Text Solution

    |

  18. In the ellipse 25x^(2)+9y^(2)-150x-90y+225=0

    Text Solution

    |

  19. A rod of length 12 cm moves with its ends always touching the coordina...

    Text Solution

    |

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

    Text Solution

    |