Home
Class 12
MATHS
If x + y = 3 is the equation of the chor...

If x + y = 3 is the equation of the chord AB of circle ` x^2 + y^2 - 2x + 4y - 8 = 0,` find the equation of the circle having `bar(AB)` as diameter.

Text Solution

Verified by Experts

The correct Answer is:
`(x-3)^2+y^2=5
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(b)|23 Videos
  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(b)|23 Videos
  • RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 7 (d)|4 Videos
  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE LAQ -7 MARKS|4 Videos

Similar Questions

Explore conceptually related problems

If x+y=3 is the equation of the chord AB of the circle x^2+y^2-2x+4y-8=0 , find the equation of the circle having as diameter.

If the straight line 2x + 3y = 1 intersects the circle x^2 + y^2 = 4 at the points A and B, then find the equation of the circle having AB as diameter.

The intercet on the line y = x by the circle x^(2) + y^(2) - 2x = 0 is AB . Equation of the circle on AB as a diameter is

If the straight line 2x+3y=1 intersects the circle x^2+y^2=4 at the points A and B then find the equation of the circle having AB as diameter.

If (3,-2) is the midpoint of the chord AB of the circle x^(2)+y^(2)-4x+6y-5=0" then AB="

If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A and B , then the equation of the circle with AB as diameter is

The equation of the chord of the circle x^(2)+y^(2)-4x+6y-3=0 having (1,-2) as it midpoint is

(-2,3) is the middle point of chord AB of the circle x^(2) +y^(2) = 81 . The equation the circle through the point A, B and (0,1) is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-SYSTEM OF CIRCLE-EXERXCISE - 2(a)
  1. Show that the angle between the circles x^2 + y^2 = a^2,x^2 + y^2 = ...

    Text Solution

    |

  2. Show that the circles given by the following equation intersect each o...

    Text Solution

    |

  3. Show that the circles given by the following equation intersect each o...

    Text Solution

    |

  4. Show that the circles given by the following equation intersect each o...

    Text Solution

    |

  5. Show that the circles given by the following equation intersect each o...

    Text Solution

    |

  6. Find the equation of the circle which passes through the origin and in...

    Text Solution

    |

  7. Find the equation of the circle which passes through the origin and in...

    Text Solution

    |

  8. Find the equation of the circle which passes through the point (0,-3) ...

    Text Solution

    |

  9. Find the equation of the circle passing through the origin, having its...

    Text Solution

    |

  10. Find the equation of the circle which passes through the point (2,0), ...

    Text Solution

    |

  11. Find the equation of the circle which cuts orthogonally the circle x^2...

    Text Solution

    |

  12. Find the equation of the circle which intersects the circle x^2 + y^...

    Text Solution

    |

  13. Find the equation of the circle which cuts the circle x^2 + y^2 + 4x -...

    Text Solution

    |

  14. If P, Q are conjugate points with respect to a circles S -= x^2 + y^2 ...

    Text Solution

    |

  15. If the equation fo two circles whose radii are a, a ' are S = 0 and ...

    Text Solution

    |

  16. Find the equation of the circle which intersects each of the following...

    Text Solution

    |

  17. Find the equation of the circle which intersects each of the following...

    Text Solution

    |

  18. If the straight line 2x + 3y = 1 intersects the circle x^2 + y^2 = 4 a...

    Text Solution

    |

  19. If x + y = 3 is the equation of the chord AB of circle x^2 + y^2 - 2x...

    Text Solution

    |

  20. Find the equation of the circle passing through the intersection of th...

    Text Solution

    |