Home
Class 11
MATHS
Find the coordinates of the foci, the ve...

Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse `9x^2+4y^2=36`.

Text Solution

AI Generated Solution

To solve the problem step by step, we will find the coordinates of the foci, the vertices, the lengths of the major and minor axes, and the eccentricity of the ellipse given by the equation \(9x^2 + 4y^2 = 36\). ### Step 1: Convert the equation to standard form We start with the equation of the ellipse: \[ 9x^2 + 4y^2 = 36 \] To convert this into standard form, we divide the entire equation by 36: ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|9 Videos
  • CONIC SECTIONS

    NCERT ENGLISH|Exercise EXERCISE 11.1|15 Videos
  • CONIC SECTIONS

    NCERT ENGLISH|Exercise EXERCISE 11.3|20 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT ENGLISH|Exercise All Questions|75 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 16x^(2) + 49y^(2) = 784 .

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse (x^2)/(25)+(y^2)/9=1

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. 36 x^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. 16 x^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. (x^2)/(49)+(y^2)/(36)=1

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. (x^2)/(36)+(y^2)/(16)=1

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. (x^2)/(16)+(y^2)/9=1

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. (x^2)/4+(y^2)/(25)=1

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. (x^2)/(25)+(y^2)/(100)=1

NCERT ENGLISH-CONIC SECTIONS-SOLVED EXAMPLES
  1. find the equation of hyperabola where foci are (0,12) and (0,-12)and t...

    Text Solution

    |

  2. The focus of a parabolic mirror as shown in figure is at a distance of...

    Text Solution

    |

  3. Find the coordinates of the foci and the vertices, the eccentricity, ...

    Text Solution

    |

  4. Find the equation of the hyperbola with foci (0,+-3)and vertices (0,+-...

    Text Solution

    |

  5. Find the equation of the ellipse, whose length of the major axis is 2...

    Text Solution

    |

  6. Find the equation of the ellipse, with major axis along the x-axis an...

    Text Solution

    |

  7. Find the coordinates of the foci, the vertices, the lengths of major ...

    Text Solution

    |

  8. Find the equation of the ellipse whose vertices are (+-13 ,0)and foci ...

    Text Solution

    |

  9. A beam is supported at its ends by supports which are 12 metres apart....

    Text Solution

    |

  10. A rod A B of length 15c m rests in between two coordinate axes in such...

    Text Solution

    |

  11. Find an equation of the circle with centre at (0,0) and radius r.

    Text Solution

    |

  12. Find the centre and the radius of the circle x^2+y^2+8x+10 y-8=0.

    Text Solution

    |

  13. Text Solution

    |

  14. For the following parabola find the coordinates of the foci, the equ...

    Text Solution

    |

  15. Find the equation of the circle which passes through the points (2,"""...

    Text Solution

    |

  16. Find the equation of the parabola with vertex at (0, 0) and focus at ...

    Text Solution

    |

  17. Find the equation of the parabola with focus (2, 0) and directrix x=-2...

    Text Solution

    |

  18. Find the coordinates of the foci, the vertices, the length of major a...

    Text Solution

    |

  19. Find the equation of the parabola with vertex at origin, symmetric wit...

    Text Solution

    |