Home
Class 12
MATHS
The points A(2, 3) and B(-7, -12) are co...

The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the circle `x^2 + y^2 - 6x - 8y - 1 = 0`. The centre of the circle passing through A and B and orthogonal to given circle is

Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Solved Examples|25 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Additional Solved Examples|8 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

Show that (-6,1) and (2,3) are conjugate points w.r.t. the circle x^(2) + y^(2) -2x+2y+1=0

Show that (-6,1) and (2,3) are conjugate points w.r.t. the circle x^(2) + y^(2) -2x+2y+1=0

The power of the point (1, 2) w.r.t the circle x^2 + y^2-4x-6y - 12 =0 is

The point (4,-2), (3,b) are conjugate w.r.t. the circle x^(2)+y^(2)=24 if b=

The centre of the circle passing through the points (0,0), (1,0) and touching the circle x^2+y^2=9 is

If A and B are conjugate points w.r.t to circle x^(2)+y^(2)=r^(2) then OA^(2)+OB^(2)=

The polar of the point (1,2) w.r.t. the circle x^(2)+y^2-2x-4y-4=0

The line x-2=0 cuts the circle x^(2)+y^(2)-8x-2y+8=0 at A and B . The equation of the circle passing through the points A and B and having least radius is

AAKASH SERIES-SYSTEM OF CIRCLES-EXERCISE 2.2
  1. The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the ci...

    Text Solution

    |

  2. Find the equation of the radical axis of the following circles x^(2)...

    Text Solution

    |

  3. Find the equation of the radical axis of the following circles. x^2+...

    Text Solution

    |

  4. Find the equation of the radical axis of the following circles x^(2)...

    Text Solution

    |

  5. Find the equation of the radical axis of the following circles. x^2+...

    Text Solution

    |

  6. Find the equation of the common chord of the following pair of circles...

    Text Solution

    |

  7. Find the equation of the common chord of the following pair of circles...

    Text Solution

    |

  8. Find the equation of common chord of the following pair of circlers ...

    Text Solution

    |

  9. Find the equation of the common tangent of the following circles at th...

    Text Solution

    |

  10. Find the equation of the common tangent of the following circles at th...

    Text Solution

    |

  11. Show that the circles x^(2)+y^(2)-8x-2y+8=0 and x^(2)+y^(2)-2x+6y+6=0 ...

    Text Solution

    |

  12. If the two circles x^(2)+y^(2)+2gz+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 t...

    Text Solution

    |

  13. Find the radical centre of the following circles x^2+y^2-4x-6y+5=0 ...

    Text Solution

    |

  14. Find the equation of the circle which cuts the following circles ortho...

    Text Solution

    |

  15. Show that the common chord of the circles x^2+y^2-6x-4y+9=0 and x^2+y^...

    Text Solution

    |

  16. Find the equation of the common chord of the following pair of circles...

    Text Solution

    |

  17. Find the equation and length of the common chord of the following circ...

    Text Solution

    |

  18. Prove that the radical axis of the circles x^2+y^2+2gx +2fy+c=0 and x^...

    Text Solution

    |

  19. Show that the circles x^(2)+y^(2)+2ax+c=0 and x^(2)+y^(2)+2by+c=0 touc...

    Text Solution

    |

  20. Show that the circles x^(2)+y^(2)-2x=0 and x^(2)+y^(2)+6x-6y+2=0 touch...

    Text Solution

    |

  21. Find the equation of the circle which cuts the following circles ortho...

    Text Solution

    |