Home
Class 12
MATHS
The mid-points of the sides of a triangl...

The mid-points of the sides of a triangle are (5,7,11),(0,8,5) and (2,3,-1). Find the coordinates of the vertices of the triangle.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

The mid-points of the sides of a triangle are (1, 5, -1),(0,4,-2) and (2, 3, 4). Find its vertices.

If the coordinates of the mid-points of the sides of a triangle are (1,2)(0,-1)a n d(2,-1)dot Find the coordinate of its vertices.

If the coordinates of the mid-points of the sides of a triangle are (1,\ 1),\ (2,\ -3) and (3,\ 4) , find the vertices of the triangle.

The mid-points of the sides of a triangle are (2,1), (-5,7), (-5, -5). Find the equations of the sides.

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of the area of the triangle formed to the area of the given triangle

The vertices of a triangle are (4, -3), (-2, 1) and (2, 3). Find the co-ordinates of the circumcentre of the triangle. [Circumcentre is the point of concurrence of the right-bisectors of the sides of a triangle.]

The vertices of a triangle are (3, 0), (3, 3) and (0, 3). Then the coordinates of the circumcentre are :

The sides of the triangle are (11-5x),(2x+8)and(3x+2) . Find the perimeter of this triangle.

The coordinates of the middle points of the sides of a triangle are (4, 2), (3, 3) and (2, 2), then coordinates of centroid are

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. If three consecutive vertices of a parallelogram are (3,4,-1),(7,10,-3...

    Text Solution

    |

  2. The ends of a side of a parallelogram are (2,5,-3),(3,7,-5) and its di...

    Text Solution

    |

  3. The mid-points of the sides of a triangle are (5,7,11),(0,8,5) and (2,...

    Text Solution

    |

  4. Two vertices of a traingle are (2,-6,4) and (4,-2,3) and its centroid ...

    Text Solution

    |

  5. Find the coordinates of the centroid of a triangle the mid points of w...

    Text Solution

    |

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

    Text Solution

    |

  7. Calculate the cosine of the angle A of the triangle with vertices A(1,...

    Text Solution

    |

  8. The direction ratios of a vector are <1,-3,-2>, find its direction cos...

    Text Solution

    |

  9. Find the direction cosines of the vectors: 2hati+2hatj-hatk

    Text Solution

    |

  10. Find the direction cosines of the vectors: 6hati-2hatj-3hatk

    Text Solution

    |

  11. Find the direction cosines of the vectors: 3hati+4hatk

    Text Solution

    |

  12. Find the direction cosines of the vectors: hatk

    Text Solution

    |

  13. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  14. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  15. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  16. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  17. Can a vector have direction angles 45^@, 60^@ and 120^@?

    Text Solution

    |

  18. A line makes angles 45^@ and 60^@ with the positive direction of the a...

    Text Solution

    |

  19. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

    Text Solution

    |

  20. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find the ...

    Text Solution

    |