Home
Class 12
MATHS
If the length of the tangent from (h,k) ...

If the length of the tangent from (h,k) to the circle `x^(2)+y^2=16` is twice the length of the tangent from the same point to the circle `x^(2)+y^(2)+2x+2y=0`, then

A

`h^(2) + k^(2) + 4h + 4k + 16 = 0`

B

`h^(2) + k^(2) + 3h + 3k = 0`

C

`3h^(2) + 3k^(2) + 8h + 8k + 16 = 0`

D

`3h^(2) + 3k^(2) + 4h + 4k + 16 = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PARTIAL FRACTIONS

    SIA PUBLICATION|Exercise Problems|48 Videos

  • COMPLEX NUMBERS AND DE MOIVRE'S THEOREM

    SIA PUBLICATION|Exercise Problems|34 Videos

Similar Questions

Explore conceptually related problems

If the length of the tangent from (f,g) to the circle x^(2)+y^(2)=6 be twice the length of the tangent from the same point to the circle x^(2)+y^(2)+3x+3y=0, then

The length of the tangent from (6,8) to the circle x^(2)+y^(2)=4 is

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

The length of the tangent from the point (-1,1) to the circle x^(2)+y^(2)-4x+k=0 equal to 2 then k=

The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y+1=0 is

If the length of the tangent from (5,4) to the circle x^(2) + y^(2) + 2ky = 0 is 1 the n find k.

If the length of the tangent from (2,3) to circle x^(2)+y^(2)+6x+2ky-6=0 is equal to 7.

Find the length of the tangent form (1,3) to the circle x^(2) + y^(2) - 2x + 4 y - 11 = 0 .

SIA PUBLICATION-CIRCLE-PROBLEMS
  1. The circle 4x^(2)+4y^(2)-12x-12y+9=0

    Text Solution

    |

  2. For the circle C with the equation x^(2) + y^(2) - 16x - 12y + 64 = 0 ...

    Text Solution

    |

  3. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

    Text Solution

    |

  4. Given the circle C with the equation x^(2) + y^(2) - 2x + 10y - 38 = 0...

    Text Solution

    |

  5. Consider the circle x^(2)+y^(2)-4x-2y+c=0 whose centre is A(2, 1) If t...

    Text Solution

    |

  6. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

    Text Solution

    |

  7. The radius of the circle r = 12 cos theta + 5 sin theta is

    Text Solution

    |

  8. If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a val...

    Text Solution

    |

  9. A line segment AM=a moves in the XOY plane such that AM is parallel to...

    Text Solution

    |

  10. If the lines 3x+4y-14=0 and 6x+8y+7=0 are both tangents to a circle, t...

    Text Solution

    |

  11. The equation of the circle concentric with the circle x^(2)+y^(2)-6x+1...

    Text Solution

    |

  12. The length of the common chord of the circles of radii 15 and 20, whos...

    Text Solution

    |

  13. The equations of the circles which pass through the origin and makes i...

    Text Solution

    |

  14. The locus of centre of a circle which passes through the origin and cu...

    Text Solution

    |

  15. The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the...

    Text Solution

    |

  16. If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of rad...

    Text Solution

    |

  17. The inverse of the point (1, 2) with respect to the circle x^(2) + y^(...

    Text Solution

    |

  18. If theta is the angle between the tangents from (-1,0) to the circle x...

    Text Solution

    |

  19. The radius of the circle with the polar equation r^(2) - 8r (sqrt(3) c...

    Text Solution

    |

  20. The equation of the circle of radius 3 that lies in the fourth quadran...

    Text Solution

    |