Home
Class 12
MATHS
Find the equation of the circle passing ...

Find the equation of the circle passing through the origin, having its centre on the line x+y=4 and intersecting the circle `x^2+y^2-4x+2y+4=0` orthogonally.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)-4x-4y=0`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Practice Exercise|36 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 passing through the origin, having its centre on the line x + y = 4 and intersecting the circle x^2 + y^2 - 4x + 2y + 4 = 0 orthogonlly.

The equation of the circle which passes through the origin has its centre on the line x+y=4 and cuts orthogonally the circle x^2+y^2-4x+2y+4=0

The equation of the circle passing through the point (1,-2) and having its centre on the line 2x-y-14=0 and touching the line 4x+3y-23=0 is

Find the equation of the circle passing through (4,1), (6, 5) and having the centre on the line 4x + y - 16 = 0 .

Find the equation of the circle passing through (2,-3) , (-4,5) and having the centre on 4x+ 3y+1=0 .

The equation of the line passing through the point of intersection of the lines 2x+3y-4=0, 3x-y+5=0 and the origin is

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-8x-6y-21=0 x^(2)+y^(2)-2x-15=0and(1,2)

AAKASH SERIES-SYSTEM OF CIRCLES-EXERCISE -2.1
  1. Show that the circles given by the following equations intersect each ...

    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 equations intersect each ...

    Text Solution

    |

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

    Text Solution

    |

  5. Find k if the following pairs of circles are orthogonal x^2+y^2+2by-...

    Text Solution

    |

  6. Find k if the following pairs of circles are orthogonal x^(2)+y^(2)-6...

    Text Solution

    |

  7. Find k if the following pairs of circles are orthogonal x^(2)+y^(2)-1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Find the equation of the circle which passes through (1,1) and cuts or...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the equation of the circle which passes through the points (2,0)(...

    Text Solution

    |

  13. Find the equation of circle which intersect the circle x^2+y^2-6x+4y-3...

    Text Solution

    |

  14. Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+1...

    Text Solution

    |

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

    Text Solution

    |

  16. The equation of the circle which cuts orthogonally the three circles x...

    Text Solution

    |

  17. Find the equation of the circle orthogonal to each of the circles x^(...

    Text Solution

    |

  18. The equation of the circle passing through (1,2) and the points of int...

    Text Solution

    |

  19. If the straight line 2x+3y=1 intersects the circle x^2+y^2=4 at the po...

    Text Solution

    |

  20. If x+y=3 is the equation of the chord AB of the circle x^2+y^2-2x+4y-8...

    Text Solution

    |