Home
Class 11
MATHS
If the circle x^2+y^2+6x+8y+a=0 bisects ...

If the circle `x^2+y^2+6x+8y+a=0` bisects the circumference of the circle `x^2 + y^2 + 2x - 6y - b = 0` then (a + b) is equal to

A

38

B

-38

C

42

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

If the circel x ^(2) +y^(2) +6x -2y +k=0 bisects the circumference of the circel x ^(2) +y^(2) +2x -6y-15=0, then the value of k is-

Center of the circle x^(2) + y^(2) - 4x + 6y - 12 = 0 is -

Center of the circle x^(2) + y^(2) - 6x + 4y - 12 = 0 is -

Find the equation of the circle which bisects the circumference of the circle x^(2) + y^(2) + 2y - 3 = 0 and touches the straight line y = x at the origin.

Find the parametric equation of the circle x^(2) + y^(2) + 4x - 8y - 5 = 0 .

The locus of the centre of the circle which bisects the circumferences of the circles x^2 + y^2 = 4 & x^2 + y^2-2x + 6y + 1 =0 is :

The circle x ^(2) +y^(2) -8 x+4=0 touches -

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

Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 6y - 13 = 0 and passing through the centre of the circle x^(2) + y^(2) - 8x - 10y - 8 = 0 .

For all values of a and, b show that the circle (x-2)(x-2+a)+(y+3) (y+3+b)=0 bisects the circumference of the circle (x-2)^(2)+(y+3)^(2)=36 .

PATHFINDER-CIRCLE-QUESTION BANK
  1. If the equation of a circle is 3x^2 + 3y^2 + kxy + 9x + (k - 6)y + 3 =...

    Text Solution

    |

  2. Let AB be a chord of the circle x^2 + y^2 = r^2 Subtending a right ang...

    Text Solution

    |

  3. If the circle x^2+y^2+6x+8y+a=0 bisects the circumference of the circl...

    Text Solution

    |

  4. If a chord of a circle x^2 + y^2 =32 makes equal intercepts of length ...

    Text Solution

    |

  5. The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2...

    Text Solution

    |

  6. The equations of the tangents to the circle x^2 + y^2 = 25 which are i...

    Text Solution

    |

  7. The number of tangents to the circle x^2 + y^2 - 8x - 6y + 9 = 0 which...

    Text Solution

    |

  8. Let x, y be real variable satisfying the x^2 + y^2 + 8x - 10 y - 40 = ...

    Text Solution

    |

  9. The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = ...

    Text Solution

    |

  10. Point M moved on the circle (x - 4)^2 + (y - 8)^2 = 20 Then it broke a...

    Text Solution

    |

  11. The equation of the tangents drawn from the origin to the circle x^2 +...

    Text Solution

    |

  12. The equation of a circle of radius 1 touching the circle x^2 + y^2 - 2...

    Text Solution

    |

  13. The range of value of 'a' such that angle theta between the pair of ta...

    Text Solution

    |

  14. The centre of a circle passing through the points (0,0),(1,0)and touch...

    Text Solution

    |

  15. Let L1 be a straight line passing through the origin and L2 be the str...

    Text Solution

    |

  16. Three sides of a triangle have the equation Li = y - mi x = 0 , I = 1,...

    Text Solution

    |

  17. Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre ...

    Text Solution

    |

  18. From a point P(alpha, beta) a pair of tangents PQ and PR drawn to circ...

    Text Solution

    |

  19. From a point P(alpha, beta) a pair of tangents PQ and PR drawn to circ...

    Text Solution

    |

  20. If7l^2 - 9m^2 + 8l + 1 = 0 and we have to find equation of circle havi...

    Text Solution

    |