Home
Class 11
MATHS
The equatio of the parabola with its ver...

The equatio of the parabola with its vertex at the origin, axis on the Y-axis and passing through the point `(6, -3)` is

A

`y ^(2) =12 x + 6`

B

`x ^(2) = 12 y`

C

`x ^(2) = -12 y`

D

`y ^(2) =-12x +6`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|158 Videos
  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos
  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos
  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

the equation of the parabola whose vertex is origin, axis along y-axis and which passes through the point (4, 2)

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

Find the equation of the parabola with vertex at origin, symmetric with respect to y-axis and passing through (2, -3)

Find the equation of the parabola, which has vertex (0,0) and its symmetric about y-axis and passes through the point (2,-3).

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

Find the equation of the parabola which is symmetric about the x-axis and passes through the point (2, -6) .

Find the equation of the parabola which is symmetric about the y-axis and passes through the point (2, -4) .

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.

The equation of the parabola with vertex at the origin passing through (2,3) and the axis along x-axis is

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

TARGET PUBLICATION-CIRCLE AND CONICS -CRITICAL THINKING
  1. Radius of the parametric equation represented by x = 2a ((1- t ^(2))/(...

    Text Solution

    |

  2. Prove that for all values of theta , the locus of the point of interse...

    Text Solution

    |

  3. The equatio of the parabola with its vertex at the origin, axis on the...

    Text Solution

    |

  4. Equation of the parabola, whose vertex is (-1,-2), axis is vertical an...

    Text Solution

    |

  5. The equation of the parabola whose vertex is at(2, 1) and focus at(2, ...

    Text Solution

    |

  6. Equation of the parabola whose directrix is y =2x -9 and focus (-8,-2)...

    Text Solution

    |

  7. The equation of the parabola with focus (a, b) and directrix x/a+y/b=1...

    Text Solution

    |

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

    Text Solution

    |

  9. The equation (13x -1)^(2) + (13y -1)^(2) =k (5x-12y+1)^(2) will repr...

    Text Solution

    |

  10. vertex of the parabola 9x^2-6x + 36y + 9 = 0 is

    Text Solution

    |

  11. The equation of parabola is y ^(2) + 8x -12 y+20=0, then which of the ...

    Text Solution

    |

  12. If the vertex of the parabola y=x^(2)x+c lies on x-axis, then the valu...

    Text Solution

    |

  13. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  14. The axis of the parabola 9y^2-16x-12y-57 = 0 is

    Text Solution

    |

  15. The latus ractum of a parabola whose directrix is x+y -2=0 and focus i...

    Text Solution

    |

  16. The equation of the latus rectum of a parabola is x+y=8 and the equati...

    Text Solution

    |

  17. Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and wh...

    Text Solution

    |

  18. The length of the latus rectum of the parabola whose focus is (u^2/2g ...

    Text Solution

    |

  19. The co-ordinates of a point on 2y ^(2) =7x whose parameter is -2 are

    Text Solution

    |

  20. x-2 = t^2, y = 2t are the parametric equations of the parabola-

    Text Solution

    |