Home
Class 12
MATHS
The equation of the parabola with vertex...

The equation of the parabola with vertex at (0,0) , axis along y axis and passing through the point `(6,-3)` is

A

`x^2 + 4y = 0`

B

`x^2 + 8y = 0`

C

`x^2 + 12y = 0`

D

`x^2 + 6y = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - ELLIPSE|18 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - CIRCLE|18 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the parabola with vertex (-1, -2), axis parallel to y-axis and passing through (3, 6).

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

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

Find the equation of the parabola with vertex (2,1) open right ward and passing through (6,5).

Find the equation of the parabola with vertex (0,0), focus (-2,0).

Find the equation of the ellipse, with major axis along the x-axis and passing through the points (4,3) and (-1,4)

Find the equation of the parabola which is symmetric about y-axis, and passes through the point (2,-3) .

Find the equation of the parabola which has axis parallel to the y-axis and which passes through the points (0,2),(-1,0),a n d(1,6)dot

NEW JOYTHI PUBLICATION-CONIC SECTIONS -EXERCISE - PARABOLA
  1. The vertex of the parabola y^2 + 4x = 0 is

    Text Solution

    |

  2. The focus of the parabola y^2 = 20 x is

    Text Solution

    |

  3. The axis of the parabola y^2 = x is the line

    Text Solution

    |

  4. The latus rectum of the parabola y^2 = 11x is of length

    Text Solution

    |

  5. If (3,0) is the focus and y axis is the tangent at vertex. Then the eq...

    Text Solution

    |

  6. If the parabola y^2 = ax passes through (3,2) then the focus is

    Text Solution

    |

  7. Equation of the parabola with focus (-4,0) and vertex at the origin is

    Text Solution

    |

  8. The equation of the directrix of the parabola x^2 = 28y = 0 is

    Text Solution

    |

  9. The vertex of the parabola y^2 = 4x + 4y is

    Text Solution

    |

  10. The focus of the parabola 4y^2 + 12x - 12y + 39 = 0 is

    Text Solution

    |

  11. Axis of the parabola x^2 - 3y - 6x + 6 = 0 is

    Text Solution

    |

  12. The equation of the parabola with vertex at (0,0) , axis along y axis ...

    Text Solution

    |

  13. The length of latus rectum of the parabola 4y^2 + 2x - 20y + 17 = 0 is

    Text Solution

    |

  14. The length of the latus rectum of the parabola x^2 - 4x - 8y + 12 = 0 ...

    Text Solution

    |

  15. The equation of the directrix of the parabola y^2 + 4y + 4x + 2 = 0 is

    Text Solution

    |

  16. The equation of the parabola with its vertex at (1,1) and focus at (3,...

    Text Solution

    |

  17. Equation of the parabola with focus (3,0) and the directrix x + 3 = 0 ...

    Text Solution

    |

  18. If (0,6) and (0,3) are respectively the vertex and focus of a parabola...

    Text Solution

    |

  19. The line x - y + 2 = 0 touches the parabola y^2 = 8x at the point

    Text Solution

    |