Home
Class 12
MATHS
Equation of parabola whose focus is (1, ...

Equation of parabola whose focus is (1, 0) and directrix is` x + 2y- 1= 0 is`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos
  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos
  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- I|57 Videos
  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

Equation of parabola whose focus is (0, 4) and directrix is y + 4 = 0 is

Find the equation of parabola whose focus is (-3,0) and directrix is x + 5 = 0

Find the equation of parabola whose focus is (0, 4) and directrix is y + 4 = 0

The vertex of parabola whose focus is (2,1) and directrix is x - 2y + 10 = 0 is

Find the equation of parabola whose focus is (-2,3) and the directrix is 2x+3y=4

The equation of the parabola with focus (1,-1) and directrix x + y + 3 = 0, is

The equation of the parabola having focus (1,2) and directrix x+ 2y + 6 = 0 is

Find the equation of the parabola whose focus is (-2,3) and directrix is the line 2x+3y-4=0. Also find the length of the latus rectum and the equation of the axis of the parabola.

The equation or the parabola with the focus (3,0)and the directrix x + 3 = 0 is

AAKASH SERIES-PARABOLA-EXERCISE- II
  1. Equation of parabola whose focus is (1, 0) and directrix is x + 2y- 1=...

    Text Solution

    |

  2. The equation of the parabola with focus (1,-1) and directrix x + y +...

    Text Solution

    |

  3. The vertex and focus of a parabola are at a distance of h and k units ...

    Text Solution

    |

  4. The equation of the parabola with latusrectum joining the points (6,7)...

    Text Solution

    |

  5. Equation or Parabola whose axis is parallel to y-axis and passing thro...

    Text Solution

    |

  6. The equation or the parabola with the focus (3,0)and the directrix x +...

    Text Solution

    |

  7. The equation 16x^(2)+y^(2) +8xy-74x-78y+212 =0 represents

    Text Solution

    |

  8. The equation or the parabola with focus (0, 0) and directrix x+y = 4 i...

    Text Solution

    |

  9. The vertex of the parabola x^(2)+12x-9y=0 is

    Text Solution

    |

  10. The vertex of the parabola x^(2)+8x+12y+4=0 is

    Text Solution

    |

  11. The focus of the parabola x^(2)-2x-8y-23=0 is

    Text Solution

    |

  12. Axis of the parabola x^(2)-3y-6x+6 = 0 is

    Text Solution

    |

  13. Focus of parabola y = ax^(2) + bx + c is

    Text Solution

    |

  14. The vertex of parabola whose focus is (2,1) and directrix is x - 2y + ...

    Text Solution

    |

  15. The focus and directrix of a parabola are (1, 2) and x + 2y + 9 = 0 th...

    Text Solution

    |

  16. The length of latusrectum x^(2) - 6x + 16y + 25 = 0 is

    Text Solution

    |

  17. I : The length of the latus rectum of the parabola y^(2)+8x-2y+17=0 i...

    Text Solution

    |

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

    Text Solution

    |

  19. The latusrectum of the parabola 13[(x-3)^(2)+(y-4)^(2) ]= (2x-3y+5)^(2...

    Text Solution

    |

  20. Vertex is (4, 3) and diretctrix is 3x+2y-7=0 then equation of latusrec...

    Text Solution

    |