Home
Class 11
MATHS
Find the equation of the ellipse that sa...

Find the equation of the ellipse that satisfies the given conditions: Ends of major axis `(0,pmsqrt(5))`, ends of minor axis `(pm1,0)`

Text Solution

Verified by Experts

Let equation of ellipse be `(x^(2))/(a^(2))+(3^(2))/(2^(2))=1`.
The end points `(0,pmsqrt(5))` of minor axis on x-axis.
`:.b=sqrt(5)anda=1`
`rArrb^(2)=5anda^(2)=1`
Now, equation of ellipse
`(x^(2))/(1)+(y^(2))/(5)=1`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11.4|15 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11.2|12 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos
  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation for the ellipse that satisfies the given conditions: Ends of major axis (0,+-sqrt(5)) ends of minor axis

Find the equation of the ellipse that satisfies the given conditions: Ends of major axis (pm3,0) , ends of minor axis (0,pm2) .

Find the equation for the ellipse that satisfies the given conditions: Ends of major axis (+-3,0) ends of minor axis (0,+-2)

Find the equation of the ellipse that satisfies the given conditions: Foci (pm3,0),a=4

Find the equation of the ellipse that satisfies the given conditions: Length of major axis 26, foci (pm5,0)

Find the equation of the ellipse that satisfies the given conditions: Length of minor axis 16, foci (0pm6) .

Find the equation for the ellipse that satisfies the given conditions: Length of major axis 26, foci (+-5,0)

Find the equation for the ellipse that satisfies the given conditions: Length of minor axis 16, foci (0,+-6)

Find the equation of the ellipse that satisfies the given conditions: Vertices (0,pm13) , foci (0,pm5)

Find the equation of the ellipse that satisfies the given conditions: Vertices (pm5,0) , foci (pm4,0)

NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11.3
  1. (x^(2))/(36)+(y^(2))/(16)=1

    Text Solution

    |

  2. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  3. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  4. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  5. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  6. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  7. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  8. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  9. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  10. Find the equation of the ellipse that satisfies the given conditions: ...

    Text Solution

    |

  11. Find the equation of the ellipse that satisfies the given conditions: ...

    Text Solution

    |

  12. Find the equation of the ellipse that satisfies the given conditions: ...

    Text Solution

    |

  13. Find the equation of the ellipse that satisfies the given conditions: ...

    Text Solution

    |

  14. Find the equation of the ellipse that satisfies the given conditions: ...

    Text Solution

    |

  15. Find the equation of the ellipse that satisfies the given conditions: ...

    Text Solution

    |

  16. Find the equation of the ellipse that satisfies the given conditions: ...

    Text Solution

    |

  17. Find the equation of the ellipse that satisfies the given conditions: ...

    Text Solution

    |

  18. b=3, c=4, centre at origin , foci on the x axis.

    Text Solution

    |

  19. Centre at (0,0) major axis on the y-axis passes through the points (3,...

    Text Solution

    |

  20. Major axis on the x-axis and passes through the points (4,3) and (6,2)...

    Text Solution

    |