Home
Class 11
MATHS
The vertices of a triangle are O(0,0),\ ...

The vertices of a triangle are `O(0,0),\ A(a ,0)a n d\ B(0, b)` . Write the coordinates of its circumcentre.

Text Solution

Verified by Experts

The coordinates of circumcentre of a triangle are the intersection of perpendicular bisectors of any sides of the triangle.
Thus, the coordinates of circumcetre of triangle are `(frac{a}{2}, frac{b}{2}).`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA|Exercise Solved Examples And Exercises|228 Videos
  • COMBINATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|117 Videos

Similar Questions

Explore conceptually related problems

The vertices of a triangle are (0, 3), (-3, 0) and (3, 0). The coordinates of its orthocentre are

If the vertices of a triangle are at O(0,0),A(a,0) and B(0,a). Then,the distance between its circumcentre and orthocentre is

The vertices of a triangle are (0,3) ,(-3,0) and (3,0) . The coordinates of its orthocentre are

If coordinates of the vertices of a triangle are (2,0), (6,0) and (1,5), then distance between its orthocentre and circumcentre is

If the vertices of a triangle are (0,0,0),(1,-2,1) and (3,4,5), then the coordinates of the mid point of the line segment joining the orthocentre and the circumcentre is

The vertices of a triangle are A(0, 0), B(0, 2) and C(2, 0). The distance between circumcentre and orthocentre is

RD SHARMA-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-Solved Examples And Exercises
  1. Find what the following equation become when the origin is shifted ...

    Text Solution

    |

  2. Find what the following equation become when the origin is shifted ...

    Text Solution

    |

  3. Find what the following equation become when the origin is shifted ...

    Text Solution

    |

  4. Find the point to which the origin should be shifted so that the equat...

    Text Solution

    |

  5. Find what the following equations become when the origin is shifted...

    Text Solution

    |

  6. Find what the following equations become when the origin is shifted...

    Text Solution

    |

  7. Find what the following equations become when the origin is shifted...

    Text Solution

    |

  8. Find what the following equations become when the origin is shifted...

    Text Solution

    |

  9. Find the point to which the origin should be shifted after a transl...

    Text Solution

    |

  10. Find the point to which the origin should be shifted after a transl...

    Text Solution

    |

  11. Find the point to which the origin should be shifted after a transl...

    Text Solution

    |

  12. Verify that the area of the triangle with vertices (4,6), (7,10) an...

    Text Solution

    |

  13. The vertices of a triangle are O(0,0),\ A(a ,0)a n d\ B(0, b) . Write ...

    Text Solution

    |

  14. Write the coordinates of the orthocentre of the triangle formed by ...

    Text Solution

    |

  15. Three vertices of a parallelogram, taken in order, are (-1, -6), (2...

    Text Solution

    |

  16. If the points (a ,0),(a t1 2,\ 2a t1)a n d\ a t2 2,\ 2a t2) are col...

    Text Solution

    |

  17. Write the co ordinates of the circumcentre of a triangle whose centroi...

    Text Solution

    |

  18. Write the coordinates of the incentre of the triangle having its ve...

    Text Solution

    |

  19. If the points  (1,-1), (2,-1) and (4,-3) are the mid points of the ...

    Text Solution

    |

  20. Write the area of the triangle having vertices at (a , b+c),\ (b , c+a...

    Text Solution

    |