Home
Class 12
MATHS
The equation of the common chord of the ...

The equation of the common chord of the two circles
` (x -a)^(2) + (y - b)^(2) = c^(2), (x - b)^(2) + (y - a)^(2) = c^(2) ` is

A

ax - by = 10

B

ax - by = 0

C

x - y = 0

D

ax + by = 1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -1)|9 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -2)|1 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos

  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos

Similar Questions

Explore conceptually related problems

The length of the common chord of the two circles (x - 3)^(2) + (y - 5)^(2) = 7^(2) , (x-5)^(2) + (y - 3)^(2) = 7^(2) is

The length of the common chord of the circles (x - a)^(2) + (y - b)^(2) =c^2" and " (x -b)^(2) + (y -a)^(2) = c^(2) = c^(2) is

Find the equation of the common chord of the following pair of circles. (x-a)^2 + (y-b)^2 = c^2 , (x-b)^2 + (y-a)^2 = c^2 (a ne b)

Find the equation of common chord of the following pair of circlers (x-a)^(2)+(y-b)^(2)=c^(2),(x-b)^(2)+(y-a)^(2)=c^(2)(a!=b)

The lengthk of the equation chord of the two circles (X - a)^(2) + y^(2) = a^(2) and x^(2) + (y - b)^(2) = b^(2) is

The length of the common chord of the two circles (x-a)^2+(y-b)^2=c^2,(x-b)^2+(y-a)^2=c^2 is

The length of the common chord of the two circles (x-a)^2+y^2=a^2 and x^2+(y-b)^2=b^2 is

The equation of the common chord of the two circles x^(2) +y^(2) + 2x + 3y + 1 = 0 , x^(2) + y^(2) + 4x + 3y + 2 = 0 is

DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The equation of the common tangent at the point contact of the circles...

    Text Solution

    |

  2. The equation of the common chord of the two circles x^(2) +y^(2) + 2...

    Text Solution

    |

  3. The equation of the common chord of the two circles (x -a)^(2) + (y...

    Text Solution

    |

  4. The distance from (1,2) to the radical axis of the circles x^(2) + ...

    Text Solution

    |

  5. The distanc of the point (1,-2) from the common chord of the circles ...

    Text Solution

    |

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

    Text Solution

    |

  7. The length of the common chord of the circles of radii 15 and 20, whos...

    Text Solution

    |

  8. The length of the common chord of the circles x^(2) + y^(2) + 2x + ...

    Text Solution

    |

  9. The length of the common chord of the two circles x^(2) + y^(2) - 4y ...

    Text Solution

    |

  10. The length of the common chord of the circles x^(2) + y^(2) + 2hx = 0...

    Text Solution

    |

  11. The equation of the common chord of the two circles (x -a)^(2) + (y...

    Text Solution

    |

  12. The length of the common chord of the circles (x - a)^(2) + (y - b)...

    Text Solution

    |

  13. The length of the common chord of the circles x^(2) + y^(2) + 2gx ...

    Text Solution

    |

  14. The length of the common chord of the circle x^(2) + y^(2) + ax + b...

    Text Solution

    |

  15. The length of the common chord of the circles x^(2) + y^(2) + 2hx +...

    Text Solution

    |

  16. The length of the common chord of the circles of radii 15 and 20 whos...

    Text Solution

    |

  17. If the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 bisects the circumfer...

    Text Solution

    |

  18. The common chord of x^(2) + y^(2) - 4x - 4y " and " x^(2) + y^(2) = 16...

    Text Solution

    |

  19. If one of the diameter of the circle , given by the equation , x^(...

    Text Solution

    |

  20. The lengthk of the equation chord of the two circles (X - a)^(2) + y^(...

    Text Solution

    |