Home
Class 12
MATHS
If the focus is (1,-1) and the directrix...

If the focus is (1,-1) and the directrix is the line x+2y-9=0, the vertex of the parabola is

A

(1,2)

B

(2,1)

C

(1,-2)

D

(2,-1)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.1 I.|14 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- II|100 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

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.

A parabola has the origin as its focus and the line x=2 as the directrix . Then the vertex of the parabola is at

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

The vertex of the parabola y^(2)+4x-2y+3=0 is

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

Find the coordinates of the focus , axis, the question of the directrix and latus rectum of the parabola y^(2)=8x .

The focus of a parabola is (2,3) and the foot of the perpendicular from the focus to the directrix is (4,5) . The equation to the parabola is .

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

AAKASH SERIES-PARABOLA-PRACTICE EXERCISE
  1. The ends of Iatusrectum of parabola are (6, 7) and (6, -1) then equat...

    Text Solution

    |

  2. Find the equation of the parabola whose axis is parallel to Y-axis and...

    Text Solution

    |

  3. If the focus is (1,-1) and the directrix is the line x+2y-9=0, the ver...

    Text Solution

    |

  4. If the parabola y^(2)=ax passes through (1, 2) then the equation of th...

    Text Solution

    |

  5. The length of the latus rectum of the parabola 4y^(2)+12x-20y+67=0 is

    Text Solution

    |

  6. If the vertex of the parabola y = x^(2)-8x+c lies on x-axis then the v...

    Text Solution

    |

  7. A ray of light moving parallel to x-axis gets reflected from a parabol...

    Text Solution

    |

  8. An equilateral triangle is Inscribed in parabola y^(2) = 4ax whose one...

    Text Solution

    |

  9. Angle made by double ordinate of length 24 of the parabola y^(2)= 12x ...

    Text Solution

    |

  10. Length of the double ordinateof the parabola y^(2) = 4x, at a distance...

    Text Solution

    |

  11. Point of contact of y=1-x w.r.t. y^(2)-y+x=0 is

    Text Solution

    |

  12. The equation of the tangent to the parabola y^(2)=4x at the end of the...

    Text Solution

    |

  13. Point on the parabola y^(2)=8x the tangent at which makes an angle (pi...

    Text Solution

    |

  14. Equation of common tangent to y^(2)=32x and x^(2)=108 y is

    Text Solution

    |

  15. The slope of tangents drawn from a point (4,10) to the parabola y^(2)=...

    Text Solution

    |

  16. Find the angle between tangents drawn from P(2, 3) to the parabola y^(...

    Text Solution

    |

  17. Angle between tangents drawn from (0,-a) to parabola x^(2) =4ay is

    Text Solution

    |

  18. The angle between the tangents to the parabola y^(2)=4ax at the points...

    Text Solution

    |

  19. The locus of the point of intersection of two tangents to the parabola...

    Text Solution

    |

  20. The locus of point of intersection of tangents to y^(2)=4ax which incl...

    Text Solution

    |