Home
Class 11
MATHS
The coordinates of the mid points of sid...

The coordinates of the mid points of sides AB, BC and CA of ` A B C` are `D(1,2,-3),\ E(3,0,1)a n d\ F(-1,1,-4)` respectively. Write the coordinates of its centroid.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    RD SHARMA ENGLISH|Exercise All Questions|76 Videos
  • LIMITS

    RD SHARMA ENGLISH|Exercise All Questions|302 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the mid points of the sides "BC", "CA" and "AB" of a △ ABC are (3,3), (3, 4) and (2,4) respectively. Then the triangle "ABC" is

If the mid points of the sides of a triangle AB, BC and CA are D(1, 2, -3), E(3, 0, 1) and F(-1,1,-4), then find the centroid of the triangle.

Let the circumcentre of DeltaABC is S(-1, 0) and the midpoints of the sides AB and AC are E(1, -2) and F(-2, -1) respectively, then the coordinates of A are

Find the centroid of a triangle, mid points of whose sides are (1,2,-3), (3,0,1) and (-1,1,-4).

If the coordinates of midpoints of AB and AC of Δ A B C are (3,5) and (-3,-3) respectively, then write the length of side BC.

Find the centroid of the triangle mid points of whose sides are (1,2,-3),(3,0,1)and (-1,1,4)

If the midpoint of the sides bar(BC), bar(CA), bar(AB) of DeltaABC are (3, -3), (3, -1), (1, 1) respectively then the vertices A, B, C are

If mid-points of the sides of a triangle are (1, 2, -3), (3, 0, 1) and (-1, 1, -4). Find its vertices.

ABCD is a parallelogram. If the coordinates of A ,\ B ,\ C\ a r e\ (2,3),\ (1,4)a n d\ (0,-2) respectively, find the coordinates of D.

If the coordinates of the mid-points of the sides of a triangle are (1,1),(2,-3)a n d(3,4) . Find its centroid.

RD SHARMA ENGLISH-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-All Questions
  1. Write the distance of the point P(3,4,5) from z-axis.

    Text Solution

    |

  2. If the distance between the points P(a ,2,1)a n d\ Q(1,-1,1) is 5 unit...

    Text Solution

    |

  3. The coordinates of the mid points of sides AB, BC and CA of A B C are...

    Text Solution

    |

  4. Write the coordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

  5. Write the length of the perpendicular drawn from the point P(3,5, 12) ...

    Text Solution

    |

  6. Write the coordinates of third vertex of a triangle having centroid at...

    Text Solution

    |

  7. What is the locus of a point (x , y , z) for which y=0, z=0?

    Text Solution

    |

  8. Find the ratio in which the line segment joining the points (2,4,5) an...

    Text Solution

    |

  9. Find the point on y-axis which is at a distance of sqrt(10) units from...

    Text Solution

    |

  10. Find the point on x-axis which is equidistant from the points A(3,2,2)...

    Text Solution

    |

  11. Find the coordinates of a point equidistant from the origin and pints ...

    Text Solution

    |

  12. Write the coordinates of the point P which is five sixth of the way fr...

    Text Solution

    |

  13. If a parallelepiped is formed by the planes drawn through the points ...

    Text Solution

    |

  14. Determine the point on yz-plane which is equidistant from points A(2,0...

    Text Solution

    |

  15. If the origin is the centroid of a triangle ABC having vertices A(a ,1...

    Text Solution

    |

  16. The ratio in which the line joining (2,4,5) and (3,5,-9) is divided by...

    Text Solution

    |

  17. The ratio in which the line joining the points (a , b , c) and (-a ,-...

    Text Solution

    |

  18. If P(0,1,2),\ Q(4,-2,1)a n d\ O(0,0,0) are three points then angle P ...

    Text Solution

    |

  19. If the extremities of the diagonal fo a square are (1,-2,3) and (2,...

    Text Solution

    |

  20. The points (5,-4,2), (4,-3,1), (7,6,4) and (8,-7,5) are the vertices o...

    Text Solution

    |