Home
Class 12
MATHS
The circles x^2+y^2-6x-8y+12=0, x^2+y^2-...

The circles `x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0` , cut orthogonally then k=

A

`-12`

B

`-24`

C

`12`

D

`24`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE -2.1|23 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-II (Class work)|45 Videos

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+11=0 and x^2+y^2-10x-4y+21=0 orthogonally and has the diameter along the line 2x+3y=7.

The centre of the cirlces cutting three circles x^2+y^2-2x-4y+4=0, x^2+y^2-4x-6y+4=0, x^2+y^2-4x-8y+4=0 orthogonally is

If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect orthogonally, show that k=2 or -3/2

If the circle x^(2) + y^(2) + 8x - 4y + c = 0 touches the circle x^(2) + y^(2) + 2x + 4y - 11 = 0 externally and cuts the circle x^(2) + y^(2) - 6x + 8y + k = 0 orthogonally then k =

The equation of the circle which cuts the three circles x^2+y^2-4x-6y+4=0, x^2+y^2-2x-8y+4=0, x^2+y^2-6x-6y+4=0 orthogonally is

AAKASH SERIES-SYSTEM OF CIRCLES-Practice Exercise
  1. The angle between the circles x^2+y^2+4x+8y+18=0 and x^2+y^2+2x+6y+8=0...

    Text Solution

    |

  2. If the circles of same radii and with centres (1, 3), (9, 11) cut orth...

    Text Solution

    |

  3. The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally t...

    Text Solution

    |

  4. The circle with centre (1, 2) cuts the circle x^2 + y^2 + 14x - 16y + ...

    Text Solution

    |

  5. If the angle between two equal circles with centres (3, 10) (-5, 4) is...

    Text Solution

    |

  6. If a circle through the point (2, 3) cuts x^2 + y^2 = 8 orthogonally t...

    Text Solution

    |

  7. The circle through origin and cutting x^2+y^2-3x-18=0 and x^2+y^2-4y-2...

    Text Solution

    |

  8. The equation of the circle passing through (-1, -1) and cutting the ci...

    Text Solution

    |

  9. The circle passing through the points (2, 3), (0, 0) and intersecting ...

    Text Solution

    |

  10. The point (3, 1) is a point on a circle C with centre (2, 3) and C is ...

    Text Solution

    |

  11. The locus of the centre of the circle cutting the circles x^2+y^2–2x-6...

    Text Solution

    |

  12. Common chord of the circles x^2+y^2-4x-6y+9=0, x^2+y^2-6x-4y+4=0 is

    Text Solution

    |

  13. The common tangent at the point of contact of the two circles x^2+y^2-...

    Text Solution

    |

  14. For the circles 3x^2+3y^2+x+2y-1=0 , 2x^2+2y^2+2x-y-1=0 radical axis i...

    Text Solution

    |

  15. The distance of the point (1, 2) from the common chord of the circles ...

    Text Solution

    |

  16. The intercept made by the radical axis of the circles x^2+y^2+6x-16=0 ...

    Text Solution

    |

  17. The centre of the cirlces cutting three circles x^2+y^2-2x-4y+4=0, x^2...

    Text Solution

    |

  18. B and C are two points on the circle x^2+y^2=a^2 point A (b,c) lies ...

    Text Solution

    |

  19. If C1 (1, 3) and C2(4, 3)are the centres of two circles whose radical ...

    Text Solution

    |

  20. The radical centre of the circles x^2+y^2=9, x^2+y^2-2x-2y-5=0 , x^2+y...

    Text Solution

    |