Home
Class 11
MATHS
Find the equation of a parabola with ...

Find the equation of a parabola with vertex at the origin and the directrix, `y=2.`

Text Solution

Verified by Experts

Let the equation of the directix be `y=a`
`a=2`
Eq. of the parabola with directix `y=a` is `x^2=-4ay`
The required equation of parabola is `x^2=-8y`
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 with vertex at the origin and y+3=0 as its directrix. Also, find its focus.

Find the equation of the parabola with vertex at the origin and focus F(0,5).

Find the equation of the parabola whose vertex is at the origin and directrix is the line y-4=0

Find the equation of the parabola with vertex at the origin and satisying the conditions : (i) Focus (2,0) , Directrix x = - 2 (ii) Focu (0,-3) , Directirc y = 3 . (b) Also, find the length of latus in each case.

Find the equation of the parabola with vertex at the origin and focus at F(-2, 0).

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

Find the equation of the parabola with vertex at the origin, passing throgh the point P(3,-4) and symmetric about the y-axis.

Find the equation of the parabola with vertex at the origin, passing through the point P(5,2) and symetric with respect to the y-axis.

Find the equation of the parabola with vertex at origin and focus at (-3, 0) .

Find the equation of the parabola with vertex at origin and focus at (0, -7) .

RD SHARMA-PARABOLA-Solved Examples And Exercises
  1. At what point of the parabola x^2=9y is the abscissa three times that ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Write the distance between the vertex and focus of the parabola y^2+6y...

    Text Solution

    |

  7. The directrix of the parabola x^2-4x-8y + 12=0 is

    Text Solution

    |

  8. Write the equation of the parabola with focus (0,0) and directrix x+y-...

    Text Solution

    |

  9. Write the length of the chord of the parabola y^2=4a x which passes th...

    Text Solution

    |

  10. If b\ a n d\ c are lengths of the segments of any focal chord of the p...

    Text Solution

    |

  11. PSQ is a focal chord of the parabola y^2=8xdotIf\ S P=6, then write SQ...

    Text Solution

    |

  12. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |

  13. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  14. If the vertex of a parabola is the point (-3,0) and the directrix is t...

    Text Solution

    |

  15. The coordinates of the focus of the parabola y^2-x-2y+2=0 are a. (5/4...

    Text Solution

    |

  16. The vertex of the parabola (y+a)^2=8a(x-a) is a.(-a ,-a) b. (a ,-a) c....

    Text Solution

    |

  17. If the focus of a parabola is (-2,1) and the directrix has the equatio...

    Text Solution

    |

  18. The equation of the parabola whose vertex is (a ,0) and the directrix ...

    Text Solution

    |

  19. The parametric equations of a parabola are x=t^2+1, y=2t+1. The Cartes...

    Text Solution

    |

  20. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |