Home
Class 12
MATHS
The focus of the parabola 4y^2 + 12x - 1...

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

A

`((13)/4, (-3)/2)`

B

`((-13)/4, (3)/2)`

C

`((3)/2, (-13)/4)`

D

`((-3)/2, (13)/4)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

The focus of the parabola x^2 -2x +8y + 17=0 is :

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

Find the axis and focus of the parabola y^(2)-2y+8x-23 = 0 .

The vertex of the parabola y^2 + 4x = 0 is

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

Let (2,3) be the focus of a parabola and x + y = 0 and x-y= 0 be its two tangents. Then equation of its directrix will be

The equation of the directrix of the parabola y^(2) + 4y + 4x + 2 =0 is

If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k is (are) 4 (b) 6 (c) 3 (d) 2

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

    |