Home
Class 11
MATHS
If the lengths of the tangents drawn fro...

If the lengths of the tangents drawn from P to the circles `x ^(2) + y ^(2) -2x + 4y -20=0 and x ^(2) + y^(2) -2x -8y +1=0` are in the ratio `2:1`, then the locus of p is

A

`x ^(2) + y^(2) + 2x + 12 y + 8=0`

B

`x ^(2) + y ^(2) -2x + 12y + 8=0`

C

`x ^(2) + y^(2) + 2x -12 y + 8=0`

D

`x ^(2) + y ^(2) - 2x -12 y + 8=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|75 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y - 4 = 0

If tangents are drawn from origin to the circle x^(2)+y^(2)-2x-4y+4=0, then

Length of a tangent drawn from the origin to the circle x ^(2) + y ^(2) - 6x + 4y + 8=0 in units is

The length of the tangent from (0, 0) to the circle 2(x^(2)+y^(2))+x-y+5=0 , is

If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles x^(2)+y^(2)+2x-2y-20=0 and x^(2)+y^(2)-4x+2y-44=0 is 2:3, then the locus of P is a circle with centre

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. The intercept on the line y=x by the circel x ^(2) + y^(2) -2x =0 is ...

    Text Solution

    |

  2. Let the line segment joining the centres of the circles x^(2)-2x+y^(2)...

    Text Solution

    |

  3. If the lengths of the tangents drawn from P to the circles x ^(2) + y ...

    Text Solution

    |

  4. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

    Text Solution

    |

  5. Find the centre of the circle that passes through the point (1,0) and ...

    Text Solution

    |

  6. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. A point on the parabola whose focus is S (1,-1) ans whose vertex is A(...

    Text Solution

    |

  10. The focus of the parabola x ^(2) =-16 y is

    Text Solution

    |

  11. Focus and directrix of the parabola x ^(2) =-8ay are

    Text Solution

    |

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

    Text Solution

    |

  13. The focus of the parabola (y+ 1)^(2) =-8 (x+2) is

    Text Solution

    |

  14. Consider the equation of a parabola y ^(2) + 4ax =0, where a gt 0. Whi...

    Text Solution

    |

  15. The focal chord of the parabola perpendicular to its axis is called as

    Text Solution

    |

  16. If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , the...

    Text Solution

    |

  17. If (x (a), y(1))and (x(2), (y(2)) are the end points of a focal chord...

    Text Solution

    |

  18. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  19. The focal distance of a point P on the parabola y^(2)=12x if the ordi...

    Text Solution

    |

  20. Find the point on the parabola y^(2)=18x at which ordinate is 3 times ...

    Text Solution

    |