Home
Class 12
MATHS
The circles x^(2)+y^(2)+6 x+k=0 and x^(...

The circles` x^(2)+y^(2)+6 x+k=0` and
`x^(2)+y^(2)+8 y-20=0` touch each other internally. The value of `k` is

A

6

B

9

C

8

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

If the circles x^(2)+y^(2)+2gx+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 touch each other, then

If the circles x^(2)+y^(2)=9andx^(2)+y^(2)+2alphax+2y+1=0 touch each other internally , then alpha =

The circles x^2+y^2-25=0 and 3(x^2+y^2)-30x - 40y + 175=0 touch each other at :

For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

Given that the circle x^(2)+y^(2)+2 x-4 y+4=0 and x^(2)+y^(2)-2 x-4 y-4=0 touch each other the equation of the common tangtnt is

For the circles x^2 + y^2 - 2x + 3y + k = 0 and x^2 + y^2 + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

The circles x^2+y^2-12x-12y=0 and x^2+y^2+6x+6y=0 :

The two circles : x^2+y^2 =ax and x^2+y^2=c^2 (c > 0) touch each other if :

If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cut orthogonally, then the length of the common chord of the circles is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

    Text Solution

    |

  2. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

    Text Solution

    |

  3. The circles x^(2)+y^(2)+6 x+k=0 and x^(2)+y^(2)+8 y-20=0 touch each o...

    Text Solution

    |

  4. The area of the circle x^(2)+y^(2)-2 x+4 y-4=0 is

    Text Solution

    |

  5. The points (1,0),(0,1),(0,0) and (2k,3k),k!=0 are concyclic if k =

    Text Solution

    |

  6. From any point on the circle x^(2)+y^(2)=a^(2), tangtnts are drawn to...

    Text Solution

    |

  7. Angle between tangents drawn from a point on the director circle x^(2...

    Text Solution

    |

  8. Two tangents drawn from P(7,1) to the circle x^(2)+y^(2)=25 touches t...

    Text Solution

    |

  9. The ltngth of the tangtnt from (5,3) to the circle x^(2)+y^(2)+10 x+k...

    Text Solution

    |

  10. The equation of the tangtnt to the circle x^(2)+y^(2)-2 x+8 y-23=0 ha...

    Text Solution

    |

  11. The equation of the circle in the first quadrant touching each co-ordi...

    Text Solution

    |

  12. The equation of the circle having centre (1, 2) and passing through th...

    Text Solution

    |

  13. The area of the circle centred at (1, 2) and passing through (4,6) is ...

    Text Solution

    |

  14. Equation of a circle which passes through (3, 6) and touches the axes ...

    Text Solution

    |

  15. Equation of the circle with centre on the y-axis and pussing through t...

    Text Solution

    |

  16. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  17. The equation of the circle described on the line joining the points (-...

    Text Solution

    |

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

    Text Solution

    |

  19. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  20. The locus of the centre of a circle which touches externally two given...

    Text Solution

    |