Home
Class 11
MATHS
Find the equation of the ellipse, whose ...

Find the equation of the ellipse, whose length of the major axis is 20 and foci are `(0,+-5)`.

Text Solution

AI Generated Solution

To find the equation of the ellipse given the length of the major axis and the coordinates of the foci, we can follow these steps: ### Step 1: Identify the given information - Length of the major axis = 20 - Foci = (0, ±5) ### Step 2: Determine the value of 'a' The length of the major axis is given by \(2a\). Therefore, we can find 'a' as follows: ...
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 equation of the ellipse having, length of major axis 26 and foci (+-5, 0)

Find the equation of the ellipse having, length of major axis 8 and foci (+- 3, 0)

Find the equation of the ellipse having, length of major axis 16 and foci (0, +- 6)

Find the equation of the ellipse whose major axis is 12 and foci are (pm4,0) .

The equation of the ellipse whose length of the major axis is 10 units and co-ordinates of the foci are (0, pm 4) is

Find the equation of the ellipse whose major axis is 8 and co-ordinates of foci are (pm2,0)

Find the equation of the ellipse whose major axis is 8 and minor axis is 4.

Find the equation of the ellipse whose vertices are (+-13 ,0) and foci are (+-5,0) .

Find the equation of the ellipse whose vetices are (pm6, 0) and foci are (pm 4, 0) .

Find the equation of the ellipse in the following case: Length of minor axis 16 ,foci (0,+-6)

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

    |