Home
Class 11
MATHS
The equation of the parabola whose verte...

The equation of the parabola whose vertex is at(2, 1) and focus at(2, -3), is

A

`x ^(2) + 4x -8y -12 =0`

B

`x ^(2) -4x + 8y + 12 =0`

C

`x ^(2) + 8y =12`

D

`x ^(2) -4x + 12 =0`

Text Solution

Verified by Experts

The correct Answer is:
B
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 with vertex at (0, 0) and focus at (0, 4) is

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

The equation of the parabolas with vertex at -1,1 and focus 2,1 is

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

Find the equation of the parabola with vertex (2,3) and focus (0,5).

Find the equation of a parabola whose vertex is (-2,0) and focus is (0,0).

Find the equation of the parabola with vertex (2,-3) and focus (0,5) .

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

TARGET PUBLICATION-CIRCLE AND CONICS -CRITICAL THINKING
  1. The equatio of the parabola with its vertex at the origin, axis on the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The parametic representation (2+ t ^(2), 2t +1 ) represents

    Text Solution

    |

  20. The equation of the ellipse whose centre is at origin and which passes...

    Text Solution

    |