Home
Class 12
MATHS
The parabola (y+1)^(2)=a(x-2) passes thr...

The parabola `(y+1)^(2)=a(x-2)` passes through the point `(1,-2) .` The equation of its directrix is

A

`4 x+1=0`

B

`4 x-1=0`

C

`4 x+9=0`

D

`4 x-9=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

Similar Questions

Explore conceptually related problems

If the parabola y^(2)-4ax passes through the point (3,2) then the length of its latus rectum is

If the parabola y^2=4a x\ passes through the point (3,2) then find the length of its latus rectum.

If the parabola x^(2)=4xy passes through the point (2, 1) , then the length of the latus rectum is

If a circle is concentric with the circle x^(2)+y^(2)-4x-6y+9=0 and passes through the point (-4,-5) then its equation is

The equation of the normal to the parabola y^(2)=4 x which passes through the point (3,0) is

The locus of the midpoints of the line joining the focus and any point on the parabola y^(2)=4ax is a parabola with the equation of directrix as

If a focal chord of the parabola y^(2)=a x is 2 x-y-8=0 then the equation of the directrix is

Equation of line passing through the point (1, 2) and perpendicular to the line y=3x-1 is

The equation of the circle passing through the point (1, 1) and the point of intersection of: x^2+y^2+13x-3y=0 and 2x^2+2y^2+4x -7y-25=0 is :

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The vertex of the parabola y^(2)=4 a(x+a) is

    Text Solution

    |

  2. If m(1) and m(2) are slopes of the two tangents that are drawn from (2...

    Text Solution

    |

  3. The parabola (y+1)^(2)=a(x-2) passes through the point (1,-2) . The eq...

    Text Solution

    |

  4. Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 ...

    Text Solution

    |

  5. The graph represented by the equations x=sin ^(2) t y=2 cos t is

    Text Solution

    |

  6. If P S P^(prime) is a focal chord of the parabola y^(2)=4 a x and S L ...

    Text Solution

    |

  7. The tangents at the points (a t(1)^(2), 2 a t(1)), (a t(2)^(2), 2 a t(...

    Text Solution

    |

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

    Text Solution

    |

  9. If x+y+1=0 touches the parabola y^(2)=lambda x then lambda=

    Text Solution

    |

  10. The equation of the directrix to the parabola y^(2)-2 x-6 y-5=0 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

    Text Solution

    |

  14. The line 4 x+6 y+9=0 touches the parabola y^(2)=4 x at the point

    Text Solution

    |

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

    Text Solution

    |

  16. If the normal to the parabola y^(2)=4 x at P(1,2) meets' the parabola ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The equation of the parabola with focus (0,0) and directrix x+y=4 is

    Text Solution

    |

  20. The parabola with the directrix x+2 y-1=0 and focus (1,0) is

    Text Solution

    |