Home
Class 11
MATHS
Prove that the triangle formed by joinin...

Prove that the triangle formed by joining the three points whose coordinates ere `(1,2,3),(2,3,1)a n d(3,1,2)` is an equilateral triangle.

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

Show that the points (2,4),(2,6) (2+sqrt3,5) form an equilateral triangle.

Prove that the points (5,3,2),(3,2,5) and (2,5,3) are the vertices of an equilateral triangle.

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

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 this area to the area of the given triangle.

The area of the triangle whose vertices are A(1,-1,2),B(2,1-1)C(3,-1,2) is …….

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

Show that the points (1, 2, -2), (2, 3, -4) and (3, 4, -3) form a right angled triangle.

Prove that the points (2,3),(-4,-6)a n d(1,3/2) do not form a triangle.

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.

Find the coor dinates of the centrod of a triangle whose coordinates are (3, -5, 7), (-1, 7, -6) and (1, 1, 2).

RD SHARMA ENGLISH-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-All Questions
  1. Find the coordinates of a point equidistant from th four points O(0,0,...

    Text Solution

    |

  2. Find the point on y-axis which is equidistant from the points (3,1,2) ...

    Text Solution

    |

  3. Prove that the triangle formed by joining the three points whose co...

    Text Solution

    |

  4. Prove that the lines joining the vertices of a tetrahedron to the ce...

    Text Solution

    |

  5. Using the section formula, prove that the three points A(-2,3,5),B(1...

    Text Solution

    |

  6. Find the coordinates of the points which trisect the line segment A ...

    Text Solution

    |

  7. Find the ratio in which the join the A(2,1,5)a n dB(3,4,3) is divided ...

    Text Solution

    |

  8. Planes are drawn parallel to the coordinate planes through the point P...

    Text Solution

    |

  9. Name the octants in which the following points lie: (5,2,3)

    Text Solution

    |

  10. Name the octants in which the following points lie: (-5,-4,7)

    Text Solution

    |

  11. Name the octants in which the following points lie: (-5,4,3)

    Text Solution

    |

  12. Name the octants in which the following points lie: (-5,-3,-2)

    Text Solution

    |

  13. Name the octants in which the following points lie: (4,-3,5)

    Text Solution

    |

  14. Name the octants in which the following points lie: (2,-5,-7)

    Text Solution

    |

  15. Name the octants in which the following points lie: (7,4,-3)

    Text Solution

    |

  16. Name the octants in which the following points lie: (-7,2,-5)

    Text Solution

    |

  17. Find the image of: (-2,3,4) in the yz-planes.

    Text Solution

    |

  18. Find the image of: 5,2,-7) in the xy-planes.

    Text Solution

    |

  19. Find the image of: (-4,0,0) in the xy-planes.

    Text Solution

    |

  20. Find the image of: (-5,4,-3) in the xz-planes.

    Text Solution

    |