Home
Class 11
MATHS
In the tetrahedrom ABCD, A=(1,2,-3) and ...

In the tetrahedrom ABCD, A=(1,2,-3) and G=(-3,4,5) is cntroid of tetrahedron. If P is the centroid of triangle BCD then AP=

A

`(4sqrt21)/3`

B

`(8sqrt21)/3`

C

`4sqrt21`

D

`(sqrt21)/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise EXERCISE-1|75 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

The centroid of the tetrahedron ABCD divides the line joining the vertex A to the centroid of triangle BCD in the ratio

Find the ratio in which the centroid of tetrahedron ABCD divides the line joining the vertex A to the centroid of triangle BCD.

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

Consider a triangular pyramid ABCD the position vector of whose angular points are a(3,0,1) B(-1,4,1) C(5,2,3) and D(0,-5,4) Let G be the point of intersection of the medians of triangle BCD The lengths of the vector bar(AG) is

A : If the midpoints of the sides of a triangle are (1, 0), (0, 1), (1, 1) then the centroid is (2//3, 1) . R : Centroid of the triangle is same as centroid of triangle formed by their midpoints.

G(1, 1, -2) is the centroid of the triangle ABC and D is the mid point of BC . If A(-1, 1, -4) then D =

If A (1,2,3) ,B(4,3,2) and C (5,2,7) are three vertices of a tetrahedron for which the centroid is (4,5//2,5) , the fourth vertex is

In a square ABCD, G_1 =(3,5) and G_2 =(5,3) " are the centroids of " Delta ABC and DeltaACD then side of the square is (in units)

AAKASH SERIES-3D-COORDINATE SYSTEM-PRACTICE EXERCISE
  1. Centroid of triangle formed by feet of perpendicular from (-3,-6,-9) o...

    Text Solution

    |

  2. If the origin is the centroid of the tetrahedron for which (2,-1,3),(-...

    Text Solution

    |

  3. In the tetrahedrom ABCD, A=(1,2,-3) and G=(-3,4,5) is cntroid of tetra...

    Text Solution

    |

  4. The circumcentre of the triangle formed by the points (1,2,3), (2,3,1)...

    Text Solution

    |

  5. Statement-I : The coordinates of a point equidistant from the four poi...

    Text Solution

    |

  6. The incentre of the triangle formed by (0,0,0),(3,0,0),(0,4,0) is

    Text Solution

    |

  7. The centroid of the triangle formed by the points (2,-1,1),(1,-3,-5),(...

    Text Solution

    |

  8. A (3,4,5), C(-1,6,1) are the vetrices of a triangle then Statement-I...

    Text Solution

    |

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

    Text Solution

    |

  10. If the Internal bisector of angleAOB where 0=(0,0,0), A =(3,4,12), B=(...

    Text Solution

    |

  11. Statement-I : If (2,3,5),(3,5,2) and (5,2,3) are the vertices of a tri...

    Text Solution

    |

  12. Locus of x^(2)+y^(2)+z^(2)=0 is

    Text Solution

    |

  13. The locus of a point for which the sum the squares of the ditance from...

    Text Solution

    |

  14. Show that the point whose distance from Y-axis in thrice its distance ...

    Text Solution

    |

  15. ABC is a right angled triangle right angled at A. If B(2,0,2) and C(0,...

    Text Solution

    |

  16. The locus of the point P such that PA^(2)+PB^(2)=10 where A=(2,3,4), B...

    Text Solution

    |

  17. The locus of the point P such that PA^2+PB^2=2PC^2 where A=(1,3,2),B=(...

    Text Solution

    |

  18. If the locus of a point which is equidistant form (2,3,-1) and (-3,4,-...

    Text Solution

    |

  19. The coordinates of the point (3,-7,5) in the new system when the origi...

    Text Solution

    |

  20. The transformed eqution of x^(2)+y^(2)+z^(2)-6x-8y+2z+24 = 0 when the ...

    Text Solution

    |