Home
Class 12
MATHS
If the circle x^(2)+y^(2)+6 x-2 y+k=0 b...

If the circle `x^(2)+y^(2)+6 x-2 y+k=0` bisects the circumference of the circle `x^(2)+y^(2)+2 x-6 y-15-0` then `k=`

A

21

B

-21

C

23

D

-23

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the circle x^2+y^2+2g'x +2f'y+c'=0 , then :

The radius of the circle x^(2) + y^(2) + 4x + 6y +13 = 0 is...

One of the diameters of the circle x^(2)+y^(2)-12 x+4 y+6=0 is given by

Find the centre of the circle 3x^2+3y^2-6x-12y-2=0

If x=7 tonches the circle x^(2)+y^(2)-4 x-6 y-12=0 then the point of contact is

If the circle x^(2)+y^(2)+2 x-2 y+4=0 cuts the circle x^(2)+y^(2)+4 x+2 f y+2 =0 orthogonally then f=

If the line 2x-y + k = 0 is a diameter of the circle x^2 + y^2 + 6x - 6y + 5 = 0 , then k is:

The image of the circle x^(2)+y^(2)-2 x=0 in the line x+y=2 is the circle

For the two circles: x^2+y^2 =16 and x^2+y^2-2y =0 there :

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

    Text Solution

    |

  2. If P is a point such that the ratio of the squares of the ltngths of t...

    Text Solution

    |

  3. If the circle x^(2)+y^(2)+6 x-2 y+k=0 bisects the circumference of th...

    Text Solution

    |

  4. A line l meet the circle x^(2)+y^(2)=61 in A and B and P(-5,6) is suc...

    Text Solution

    |

  5. If the line 3 x-2 y+6=0 meets x -axis and y -axis respectively at A an...

    Text Solution

    |

  6. If P(1), P(2) and P(3) are the perimeters of the three circleS and ...

    Text Solution

    |

  7. The number of circleS that touch all the three lines x+y-1=0, x-y-1=0...

    Text Solution

    |

  8. Which of the following equations gives a circle

    Text Solution

    |

  9. The equation of the circle described on the common chord of the circ...

    Text Solution

    |

  10. If y=3 x is a tangent to a circle with centre (1,1) then the other ta...

    Text Solution

    |

  11. If x-y+1=0 meets the circle. x^(2)+y^(2)+y-1=0 at A and B, then t...

    Text Solution

    |

  12. The ltngth of the tangtnt drawn to the circle x^(2)+y^(2)-2 x+4 y-11=...

    Text Solution

    |

  13. Observe the following statements I. The circle x^(2)+y^(2)-6 x-4 y-7=...

    Text Solution

    |

  14. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  15. The equation of the circle having its centre on the line x +2y - 3 = 0...

    Text Solution

    |

  16. The circleS x^(2)+y^(2)+2 a x+c^2=0 and x^(2)+y^(2)+2 b y+c^2=0 touch...

    Text Solution

    |

  17. To which of the following circleS, the line y-x+3=0 is a normal at (3...

    Text Solution

    |

  18. The equation of the circle which touches both the axes and the line 4...

    Text Solution

    |

  19. circle is drawn through the point (2,0) to cut intercept of length 5 u...

    Text Solution

    |

  20. The length of the chord of the circle (x-3)^(2)+(y-5)^(2)=80 cut-off ...

    Text Solution

    |