Home
Class 12
MATHS
If ( 0,4) and (0,2) are the vertex and f...

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

A

`x^(2) + 8y =32`

B

`y^(2) + 8x = 32`

C

`x^(2)-8y = 32`

D

`y^(2) - 8x = 32`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Fill in the blanks )|14 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the odd man out : )|5 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise Exercise 5.6|25 Videos
  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

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

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

The vertex of the parabola y^2 = 4x + 4y 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 focus of the parabola x^2 -2x +8y + 17=0 is :

Two tangents on a parabola are x-y=0 and x+y=0. S(2,3) is the focus of the parabola. The length of latus rectum of the parabola is

A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola 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

An equilateral triangle is inscribed in the parabola y^(2) = 4ax whose vertex is at the vertex of the parabola. Find the length of its side.

SURA PUBLICATION-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -ADDITIONAL QUESTIONS ( MCQ)
  1. If ( 0,4) and (0,2) are the vertex and focus of a parabola then its e...

    Text Solution

    |

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

    Text Solution

    |

  3. Equation of tangent at (-4,-4) on x^2 = -4y is

    Text Solution

    |

  4. y^(2) -2x -2y + 5 =0 is a

    Text Solution

    |

  5. If a parabolic reflector is 20 cm in diameter and 5 cm deep, then i...

    Text Solution

    |

  6. The eccenticity of the ellipse 9x^(2) + 5y^(2) - 30y = 0is

    Text Solution

    |

  7. The length of the latus rectum of the ellipse x^(2)/49 + y^(2)/36 = 1...

    Text Solution

    |

  8. If the distance between the foci is 2 and the distance between the dir...

    Text Solution

    |

  9. In are ellispe , the distance between its foci is 6 and its minor axi...

    Text Solution

    |

  10. The equation 7x^(2) - 6sqrt3 xy + 13y^(2) - 4sqrt3 - 4y- 12 =0 repres...

    Text Solution

    |

  11. The distance between the foci of a hyperbola is 16 and e = sqrt2 . It...

    Text Solution

    |

  12. If the foci of the ellipse x^(2)/16 + y^(2)/b^(2) =1 and the hyperbo...

    Text Solution

    |

  13. When the eccentricity of a ellipse becomes zero , then it becomes a

    Text Solution

    |

  14. The director circle of the ellispe x^(2)/9 + y^(2)/5 = 1

    Text Solution

    |

  15. The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

    Text Solution

    |

  16. The length of the diameter of a circle with centre (1,2) and passing t...

    Text Solution

    |

  17. If (1,-3) is the centre of the circle x^(2) + y^(2) +ax + by + 9 =0 ...

    Text Solution

    |

  18. If y = 2x + c is a tangent to the circel x^(2) + y^(2) = 5 , then...

    Text Solution

    |