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)+8y+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

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 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 .

AAKASH SERIES-CIRCLES-EXERCISE II
  1. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

    Text Solution

    |

  2. The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y...

    Text Solution

    |

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

    Text Solution

    |

  4. The locus of the points from which the lengths of the tangents to the ...

    Text Solution

    |

  5. The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coo...

    Text Solution

    |

  6. The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta i...

    Text Solution

    |

  7. The locus of the middle points of portions of the tangents to the circ...

    Text Solution

    |

  8. Observe the lists:

    Text Solution

    |

  9. If a circle of radius 2 touches X-axis at (1,0) then its centre may be

    Text Solution

    |

  10. The circle passing through (1,-2) and touching the axis of x at (3,0) ...

    Text Solution

    |

  11. Equation of the tangents to the circle at the point (1,-1) whose centr...

    Text Solution

    |

  12. Equation of circles which touch both the axes and also the line x=k(kg...

    Text Solution

    |

  13. Centres of circles touching both the axes and also the line 3x+4y-12=0...

    Text Solution

    |

  14. The radius of the larger circle lying in the first quadrant and touchi...

    Text Solution

    |

  15. The equation of the circles which touch the x-axis at the origin and t...

    Text Solution

    |

  16. If two circles touching both the axes are passing through (2,3) then l...

    Text Solution

    |

  17. The radius of the circle having maximum size passing through (2,4) and...

    Text Solution

    |

  18. Consider a family of circles which are passing through the point (-1,1...

    Text Solution

    |

  19. The locus of centre of the circle touching x-axis nad the line y=x is

    Text Solution

    |

  20. The centre of the circle touching the y-axis at (0,3) and making an in...

    Text Solution

    |