Home
Class 12
MATHS
If (0,6) and (0,3) are respectively the ...

If `(0,6) and (0,3)` are respectively the vertex and focus of a parabola then its equation is

A

`x^2 + 12y = 72`

B

`x^2 - 12y = 72`

C

`y^2 - 12x = 72`

D

`y^2 + 12x = 72`

Text Solution

Verified by Experts

The correct Answer is:
A
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

If ( 0,4) and (0,2) are the vertex and focus of a parabola then its equation is

The axis of a parabola is along the line y=x and the distance of its vertex and focus from the origin are sqrt(2) and 2sqrt(2) , respectively. If vertex and focus both lie in the first quadrant, then the equation of the parabola is (x+y)^2=(x-y-2) (x-y)^2=(x+y-2) (x-y)^2=4(x+y-2) (x-y)^2=8(x+y-2)

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

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

The line x+ y +2=0 is a tangent to a parabola at point A, intersect the directrix at B and tangent at vertex at C respectively. The focus of parabola is S(2, 0) . Then

Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its third vertex lies above the y-axis. The equation of its circumcircel is ____________

If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,0) respectively, then the equation of the hyperbola is

The parabolic mirrors that are used for solar energy has the equation y=(1)/(36)x^(2) . There is a heating tube located at the focus of each parabola. How high is this tube located above the vertex of the parabola.

If the focus and vertex of a parabola are the points (0, 2) and (0, 4), respectively, then find the equation

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

    |