Home
Class 12
MATHS
Find the eccentricity and length of the ...

Find the eccentricity and length of the latus rectum of the ellipse `x^2+2y^2=3`

Text Solution

AI Generated Solution

To solve the problem of finding the eccentricity and length of the latus rectum of the ellipse given by the equation \(x^2 + 2y^2 = 3\), we will follow these steps: ### Step 1: Rewrite the equation in standard form To convert the given equation into standard form, we divide the entire equation by 3: \[ \frac{x^2}{3} + \frac{2y^2}{3} = 1 \] ...
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY OF THREE DIMENSIONS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COMPLEX NUMBERS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|98 Videos

Similar Questions

Explore conceptually related problems

Find the lengths of the major and minor axes, coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the ellipse: 4x^(2)+y^(2)=100.

Find the eccentricity and the length of the latus rectum of the ellipse (x^(2))/(49) + (y^(2))/(36) = 1 .

Find the eccentricity and the length of the latus rectum of the ellipse (x^(2))/(4) + (y^(2))/(25) = 1 .

Find the lengths of the major and minor axes, coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the ellipse: x^(2)/4+y^(2)/36 = 1.

Find the lengths of the major and minor axes, coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the ellipse: 4x^(2)+9y^(2)=144.

Find the ecentricity and length of latus rectum of the ellipse 16x^(2) + y^(2) = 16 .

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 16x^(2)+y^(2)=16

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 4x^(2)+9y^(2)=36

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 36x^(2)+4y^(2)=144

Find the coordinates of the foci,the vertices, the length of major axis,the minor axis,the eccentricity and the length of the latus rectum of the ellipse.16x^(2)+y^(2)=16

MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF TWO DIMENSIONS (CONIC SECTION)-QUESTION BANK
  1. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  2. The equation of the ellipse whose vertices are (+- 5, 0) and foci at (...

    Text Solution

    |

  3. Find the equation of the ellipse in the following case: ends of maj...

    Text Solution

    |

  4. Find the equation of the ellipse having, length of major axis 26 and f...

    Text Solution

    |

  5. Find the coordinates of the foci and the vertices, the eccentricity a...

    Text Solution

    |

  6. Find the coordinates of the foci and the vertices, the eccentricity a...

    Text Solution

    |

  7. Find the equation of the hyperbola having : vertices (0, +-3) and foci...

    Text Solution

    |

  8. Find the equations of the hyperbola satisfying the given conditions :...

    Text Solution

    |

  9. Find the equations of the hyperbola satisfying the given conditions :...

    Text Solution

    |

  10. Find the equations of the hyperbola satisfying the given conditions :...

    Text Solution

    |

  11. Find the eccentricity and length of the latus rectum of the ellipse x^...

    Text Solution

    |

  12. What are the lengths of major axis and minor of the ellipse 9x^2+16y^2...

    Text Solution

    |

  13. Find the coordinates of the centre,vertices, foci and the equation of ...

    Text Solution

    |

  14. The parabola y^2=4 px passes through are point (1,2). Find the co-ordi...

    Text Solution

    |

  15. Find the coordinates of foci, equation of directrices of the ellipse x...

    Text Solution

    |

  16. Find the equation of the parabola with focus at (1,-3) and the directr...

    Text Solution

    |

  17. Find the co-ordinate of focus and the equation of the directrix of the...

    Text Solution

    |

  18. Find the vertex, focus, length of the latus rectum , equation of direc...

    Text Solution

    |

  19. If the eccentricities of the ellipses x^2/alpha^2 +| y^2/beta^2=1 and ...

    Text Solution

    |

  20. Find the length of latus rectum, equation of directrices of the ellips...

    Text Solution

    |