Home
Class 11
MATHS
Prove that (-1/2,2,0) is the circumcent...

Prove that `(-1/2,2,0)` is the circumcenter of the triangle with vertices (1,1,0),(1,2,1) and (-2,2,-1).

Promotional Banner

Topper's Solved these Questions

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|2 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise EXERCISE - 5 (VERY SHORT ANSWER QUESTIONS)|1 Videos
  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|1 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

Similar Questions

Explore conceptually related problems

Find the circumcentre of the triangle whose vertices are A(1,0),B(-1,2) and C(3,2)

Find the circumcentre of the triangle whose vertices are (1,3) (0,-2) and (-3,1).

The circumcentre of a triangle with vertices (-2, 3), (2, -1), (4, 0) is

Find the circumcenter of the triangle whose vertices are (-2,3) , (2 , -1) , (4 , 0) .

Find the area of the triangle whose vertices are (1,1,1),(1,2,3),(2,0,1).

AAKASH SERIES-3D-COORDINATE SYSTEM-PRACTICE EXERCISE
  1. Prove that (-1/2,2,0) is the circumcenter of the triangle with vertic...

    Text Solution

    |

  2. The point (-1,4,-2) lie in the octant

    Text Solution

    |

  3. If ends of a diagonal of a square are (2,-3,4) and (4,1,-2) then the l...

    Text Solution

    |

  4. The 2^(st) point of trisection of segment joining (6,2,-4) and (3,-1,-...

    Text Solution

    |

  5. The ratio in which (5, 4,-6 ) divides the line segment joining (3,2,-4...

    Text Solution

    |

  6. Let A(1,-1,3), B(2,3,5) is divided by p in the ratio 3:2 internally th...

    Text Solution

    |

  7. Find the ratio in which YZ-plane divides the line joining A(2,4,5) and...

    Text Solution

    |

  8. The ratio in which the line segment joining the points A(-2,3,7), B(6,...

    Text Solution

    |

  9. The ratio in which zx-plane divides the line segment joining (-2,3,5),...

    Text Solution

    |

  10. Text Solution

    |

  11. The points D, E, F are the midpoints of the sides bar(BC), bar(CA),bar...

    Text Solution

    |

  12. The fourth vertex of the parallelogram whose consecutive vertices are ...

    Text Solution

    |

  13. If the points (3,2,4),(5,4,k),(9,8,-10) are collinear, then k=

    Text Solution

    |

  14. The point on y-axis which is equidistant to (2,0,6), (-6,2,4) is

    Text Solution

    |

  15. If A,B are the feet of the perpendicular from P (2,4,5) to the x-axis ...

    Text Solution

    |

  16. A parallelopiped is formed by planes drawn through the points (2,3,5) ...

    Text Solution

    |

  17. I : The points (-2,3,5 ), (1,,2,3 ),(7,0,-1 ) are collinear. II: The...

    Text Solution

    |

  18. The point (2,1,5),(3,2,3),(4,0,4) form

    Text Solution

    |

  19. The coplanar points (3,2,5) , (2,2,1),(-1,4,1 ),(0,5,5) form a

    Text Solution

    |

  20. In DeltaABC, A(4,5,6), B(3,2,1), C(5,4,3). If p,q,r are lengths of the...

    Text Solution

    |

  21. Centroid of triangle formed by feet of perpendicular from (-3,-6,-9) o...

    Text Solution

    |