Home
Class 11
MATHS
If the orthocentre and the circucentre o...

If the orthocentre and the circucentre of are (-3,5,2) ,(6,2,5) then its centroid is

A

(3,3,4)

B

`(3/2,7/2,9/2)`

C

`((-9)/2,7/2,(-3)/2)`

D

`(9/2,(-3)/2,3/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|21 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

If the orthocentre and the circucentre of a triangle are (-3,5,1),(3,3,-1) then the centroid is

If the orthocentre and circumcentre of a triangle are (2, -3), (5, 6) then the centroid is

Assertion (A) If (-1, 3, 2) and (5, 3, 2) are respectively the orthocentre and circumcentre of a triangle, then (3, 3, 2) is its centroid. Reason ( R ) Centroid of the triangle divides the line segment joining the orthocentre and the circumcentre in the ratio 1 : 2. Which one of the following is true ?

If the orthocentre and the centroid of a triangle are (-3,51),(3,3,-1) then find circumcentre.

If the orthocentre and the centroid of a triangle are (-3,5,2) and (3,3,4) respectively, then its circumentre is

If the centroid and circumcentre of a triangle are (3, 3), (6, 2) then the orthocentre is

If (3, -2) is the orthocentre and (-1, 4) is the circumcentre of DeltaABC then centroid of DeltaABC is

If (0, 1) is the orthocentre and (2, 3) is the centroid of a triangle. Then its circumcentre is

AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. Assertion (A) : P(3,5,4), Q(6,5,7) are the vertice of a triangle whose...

    Text Solution

    |

  2. The distance between the circumcentre and the orthocentre of DeltaABC ...

    Text Solution

    |

  3. If the orthocentre and the circucentre of are (-3,5,2) ,(6,2,5) then i...

    Text Solution

    |

  4. If H,G,S, I are respectively othercentre centroid , circumcentre and i...

    Text Solution

    |

  5. A(0,2,3), B(2,-1,5),C(3,0, -3) are vertices of DeltaABC. If a,b,c are ...

    Text Solution

    |

  6. If (1,2,3 ), (2,3,1 ) are two vertices of an equilateral triangle then...

    Text Solution

    |

  7. The distance between the circumcentre and the orthocentre of the trian...

    Text Solution

    |

  8. Find the incentre of the DeltaABC with vertices A(0,0,4), B(3,0,4), C(...

    Text Solution

    |

  9. If origin is the orthocentre of a triangle formed bythe points (cos al...

    Text Solution

    |

  10. The x, y, z coordinates of each vertex of a triangle are in A.P. The x...

    Text Solution

    |

  11. A (3,2,0), B(5,3,2), C(-9,6,-3) are three points forming a triangle th...

    Text Solution

    |

  12. A (4,3,5), B(0,-2,2) and C( 3,2,1) are three points. The coordinates o...

    Text Solution

    |

  13. Let A (4, 7, 8), B (2, 3, 4) and C (2, 5, 7) be the position vectors o...

    Text Solution

    |

  14. The locus of equation x^(2)+y^(2)+z^(2)+1=0 is

    Text Solution

    |

  15. The locus of first degree equation in x,y,z is

    Text Solution

    |

  16. The Locus of a point P(x,y,z) which moves in such away that z=C (const...

    Text Solution

    |

  17. The locus of a point which is at a distance of 5 unit from (2,1,-3) is

    Text Solution

    |

  18. Equation to the locus of points which are equal distance from the poin...

    Text Solution

    |

  19. The locus of the point which is equidistant from xy plane and yz - pla...

    Text Solution

    |

  20. The locus of the point which is at a distance of '3' unit from zx-plan...

    Text Solution

    |