Home
Class 11
MATHS
Find the equation of the parabola, if: t...

Find the equation of the parabola, if: the focus is at (0,-3) and the vertex is at (0,0)

Text Solution

AI Generated Solution

To find the equation of the parabola with the given focus and vertex, we can follow these steps: ### Step 1: Identify the Vertex and Focus The vertex is given as \( (0, 0) \) and the focus is at \( (0, -3) \). ### Step 2: Determine the Orientation of the Parabola Since the vertex is at \( (0, 0) \) and the focus is below the vertex at \( (0, -3) \), the parabola opens downwards. ...
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT OF ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|56 Videos
  • PERMUTATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|287 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the parabola,if: the focus is at (a,0) and the vertex is at (a',0)

Find the equation of the parabola with focus F(0,-3) and directrix y=3.

Find the equation of the parabola whose focus is at (0, 0) and vertex is at the intersection of the line x+y=1 and x-y=3 .

Find the equation of the parabola whose focus is (0,0) and the vertex is the point to of intersection of the lines x+y=1 and x-y=3.

Find the equation of the parabola with focus at F(3,0) and the directrix x=-3.

Find the equation of the parabola whose focus is (4,-3) and vertex is (4,-1).

Find the equation of the parabola whose: focus is (0,0) and the directrix 2x-y-1=0

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

Find the equation of the parabola whose focus is (0,-4) and directrix is y=4.

Find the equation of the parabola whose focus is (3, 0) and vertex is (0, 0) .

RD SHARMA-PARABOLA-Solved Examples And Exercises
  1. Find the length of the latus rectum of the parabola whose focus is at ...

    Text Solution

    |

  2. Find the equation of the parabola, if the focus is at (-6,-6) and the...

    Text Solution

    |

  3. Find the equation of the parabola, if: the focus is at (0,-3) and the ...

    Text Solution

    |

  4. Find the equation of the parabola, if: the focus is at (a ,0) and the ...

    Text Solution

    |

  5. Find the equation of the parabola whose focus is (0,0) and the vertex ...

    Text Solution

    |

  6. Find the vertex , focus, axis, directrix and latus rectum of the fo...

    Text Solution

    |

  7. Find the vertex, focus, directrix, axis and latus-rectum of the par...

    Text Solution

    |

  8. Find the vertex , focus, axis, directrix and latus rectum of the fo...

    Text Solution

    |

  9. Find the vertex , focus, axis, directrix and latus rectum of the fo...

    Text Solution

    |

  10. Find the vertex , focus, axis, directrix and latus rectum of the fo...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the vertex , focus, axis, directrix and latus rectum of the fo...

    Text Solution

    |

  13. Find the vertex , focus, axis, directrix and latus rectum of the fo...

    Text Solution

    |

  14. For the parabola y^2=4p x find the extremities of a double ordinate of...

    Text Solution

    |

  15. Find the coordinates of the point of intersection of the axis and the ...

    Text Solution

    |

  16. At what point of the parabola x^2=9y is the abscissa three times that ...

    Text Solution

    |

  17. The equation of the parabola with vertex at the origin passing through...

    Text Solution

    |

  18. Find the equation of a parabola with vertex at the origin and the d...

    Text Solution

    |

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

    Text Solution

    |

  20. Write the axis of symmetry of the parabola y^2=xdot

    Text Solution

    |