Home
Class 12
MATHS
If A(2, -2, 3), B(x, 4, -1), C(3, x, -5)...

If `A(2, -2, 3), B(x, 4, -1), C(3, x, -5)` are the vertices and `G(2, 1, -1)` is the centroid of `triangleABC`, then x=

A

`-3`

B

`-1`

C

`1`

D

`11`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If A(1, 4, 2), B(-2, 3, -5) are two vertices A and B and G((4)/(3), 0, (-2)/(3)) is the centroid of the triangleABC , then the mid-point of side BC is

If A -= (3,x,1), B -= (y,-2,2), C -= (2x,2y,-3) are the vectors of triangleABC and G -= (2,1,0) is its centroid, then

If A(a,2,2),B(a,b,1) and C(1,2,-2) are the vertices of triangle ABC and G(2,1,c) is centroid, then values of a,b and c are

If A(1, 3), B(-1, 2), C(2, 5) and D(x, 4) are the vertices of a llgm ABCD then the value of x is

A (3,-1), B(1,3), C(2,4) are vertices of triangleABC if D is centroid of triangleABC and P is point of intersection of lines x + 3y - 1 = 0 and 3x - y + 1 = 0 then which of the following points lies on line joining D and P

The points A (x_(1),y_(1)), B (x_(2),y_(2)) and C (x_(3),y_(3)) are the vertices of Delta ABC . What are coordinate of the centroid of the triangle ABC ?

Let A(-3,2) and B(-2,1) be the vertices of a triangle ABC. If the centroid of this triangle 1 ies on the line 3x+4y+2=0 then the vertex C lies on the line :

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)

If (1,a),(2,b),(c^(2),3) are vertices of a triangle then its centroid is

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If G(r, (-4)/(3), (1)/(3)) is centroid of the triangle having vertices...

    Text Solution

    |

  2. If G(-1, 2, 1) is the centroid triangle ABC whose two vertices are A(3...

    Text Solution

    |

  3. If A(2, -2, 3), B(x, 4, -1), C(3, x, -5) are the vertices and G(2, 1, ...

    Text Solution

    |

  4. If A(1, 4, 2), B(-2, 3, -5) are two vertices A and B and G((4)/(3), 0,...

    Text Solution

    |

  5. The incentre of triangle whose vertices are A(0, 3, 0), B(0, 0, 4), C(...

    Text Solution

    |

  6. The incentre of triangle whose vertices are A(0, 3, 0), B(0, 0, 4), C(...

    Text Solution

    |

  7. The incentre of triangle whose vertices are P(0, 2, 1), Q(-2, 0, 0), R...

    Text Solution

    |

  8. overline(PQ)-overline(TQ)+overline(PS)+overline(ST)=

    Text Solution

    |

  9. overline(AB)-overline(CB)+overline(DA)+2overline(CD)=

    Text Solution

    |

  10. If A, B, C, D, E are five coplanar points, then overline(DA)+overline...

    Text Solution

    |

  11. If overline(a) and overline(b) are position verctors of A and B respec...

    Text Solution

    |

  12. overline(OA)+6overline(BC)+overline(AB)+5overline(OB)=

    Text Solution

    |

  13. If D ,\ E ,\ F are the mid points of the side B C ,\ C A and A B respe...

    Text Solution

    |

  14. In triangle ABC, if 2overline(AC)=3overline(CB), then 2overline(OA)+3o...

    Text Solution

    |

  15. If C is the mid-point of AB and P is any point outside AB, then

    Text Solution

    |

  16. If A, B, C are the vertices of a triangle whose position vectros are v...

    Text Solution

    |

  17. D, E, F are the midpoints of the sides BC, CA and AB respectively of t...

    Text Solution

    |

  18. if D,E and F are the mid-points of the sides BC,CA and AB respectively...

    Text Solution

    |

  19. X and Y are points on the sides AB and BC respectively of triangleABC ...

    Text Solution

    |

  20. If D, E, F are the mid-points of the sides BC, CA and AB respectively ...

    Text Solution

    |