Home
Class 12
MATHS
The equation to the parabola whose focus...

The equation to the parabola whose focus is `(1,-1)` and the directrix is x+y+7=0 is

A

`x^(2)-18 x-10 y-45=0`

B

`x^(2)+y^(2)-2 x y-18 x-10 y=0`

C

`x^(2)+y^(2)-2 x y-18 x-10 y-45=0`

D

`x^(2)+y^(2)-18 x-10 y-45=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The equation of the parabola whose focus is (5,3) and the directrix 3 x-4 y+1=0 is

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

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

The equation to the parabola with focus (2, 0) and the directrix x + 3 = 0 is

The equation of the parabola with focus (2,0) and directirix x + 3 = 0 is

Find the equation of the parabola whose focus is (4,-3) and vertex is (4,-1).

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

The equation of the ellipse whose focus is (1,-1) the directrix the line x-y-3=0 and eccentricity (1)/(2) is

Find the equation of the parabola with focus (2,0) and directrix x=-2 .

The length of the latusrectum of the parbola whose focus is (3, 3) and directrix 3x-4y-2=0 , is

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The vertex of the parabola (y-2)^(2) = 16(x-1) is

    Text Solution

    |

  2. Equation of the parabola with its vertex at (1,1) and focus (3,1) is

    Text Solution

    |

  3. The equation to the parabola whose focus is (1,-1) and the directrix i...

    Text Solution

    |

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

    Text Solution

    |

  5. If(0, 6) and (0,3) are respectively the vertex & focus of a parabola t...

    Text Solution

    |

  6. The equation of the line which is tangent to both the circle x^(2)+y^(...

    Text Solution

    |

  7. The equation of the line which is a tangent to both the circle x^(2)+y...

    Text Solution

    |

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

    Text Solution

    |

  9. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

    Text Solution

    |

  10. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

    Text Solution

    |

  11. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 then the...

    Text Solution

    |

  12. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

    Text Solution

    |

  13. A point an the parabola y^(2)=18x at which the ordinate increases at t...

    Text Solution

    |

  14. If a ne 0 and the line 2bx+3cy+4d=0 passes through the points of inter...

    Text Solution

    |

  15. Let p be the point (1,0) and Q a point on the locurs y^(2)=8x the locu...

    Text Solution

    |

  16. The locus of the vertices of the family of parabolas y=(a^(3)x^(2))/(3...

    Text Solution

    |

  17. The slopes of the normal to the parabola y^(2)=4ax intersecting at ...

    Text Solution

    |

  18. If the line x -1=0 is the directrix of the parabola y^(2)-kx+8=0 then...

    Text Solution

    |

  19. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

    Text Solution

    |

  20. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

    Text Solution

    |