Home
Class 11
MATHS
Find the equations of the parabola with ...

Find the equations of the parabola with vertices at the origin and satisfying the following condition :
Directrix y = 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 equations of the parabola with vertices at the origin and satisfying the following condition : Focus at (- a, 0).

Find the equations of the parabola with vertices at the origin and satisfying the following condition : Passing through (2, 3) and axis along x-axis.

Find the equation of the parabola with vertex at the origin and satisfying the condition : Focus (6,0), Directrix x =- 6.

Find the equation of the parabola with vertex at the origin and satisfying the condition : Focus (0, - 3) , Directrix y = 3.

Find the equation of the parabola with vertex at the origin and satisfying the condition : Focus (2, 0) , Directrix x = -2 .

Find the equation of the parabola with vertex is (2, 1) and the directrix is x = y -1.

Find the equation of the family of lines satisfying the following condition : passing through the origin .

Find the differential equation of all parabolas having their vertices at the origin and foci on x-axis.

Find the equation of the parabola that satisfies the following condition : Vertex (0. 0), passing through (2, 3) and axis is along x-axis.

Find the equation of the family of lines satisfying the following condition : having y- intercept 4.

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. For the following parabola, find the axes, co-ordinates of the foci an...

    Text Solution

    |

  2. Find the equations of the parabola with vertices at the origin and sat...

    Text Solution

    |

  3. Find the equations of the parabola with vertices at the origin and sat...

    Text Solution

    |

  4. Find the equations of the parabola with vertices at the origin and sat...

    Text Solution

    |

  5. Find the equation of the parabola whose latus-rectum is 4 units , axis...

    Text Solution

    |

  6. Prove that the equation y^2+2ax+2by+c=0 represent a parabola whose ax...

    Text Solution

    |

  7. Find the equation of the parabola which is symmetric about y-axis and ...

    Text Solution

    |

  8. Find the foci, vertices, directrices, and axes of following parabola. ...

    Text Solution

    |

  9. Find the foci, vertices, directrices, and axes of following parabola. ...

    Text Solution

    |

  10. Find the foci, vertices, directrices, and axes of following parabola. ...

    Text Solution

    |

  11. Find the vertex, focus, latus-rectum, axis and directrix of the parabo...

    Text Solution

    |

  12. Find the vertex, axis, focus and directrix of the parabola x^2+ 4x + 2...

    Text Solution

    |

  13. Find the focus, vertex, equation of the directrix and the axis of the ...

    Text Solution

    |

  14. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  15. Find the equation of the parabola whose focus is (1, 1) and tangent at...

    Text Solution

    |

  16. Show that the area of the triangle inscribed in the parabola y^2= 4ax ...

    Text Solution

    |

  17. The focus of a parabolic mirror as shown in the figure is at a distanc...

    Text Solution

    |

  18. The cable of a uniformly loaded suspension bridge hangs in the form of...

    Text Solution

    |

  19. A water jet from the fountain reaches its maximum height of 4 metres a...

    Text Solution

    |

  20. A beam is supported at its end points by supports which are 12 metres ...

    Text Solution

    |