Home
Class 12
MATHS
Two vertices of a tringle are (1,2,3) an...

Two vertices of a tringle are (1,2,3) and `(3,-2,7) and `centroid is` `(2,1,-2). Find the remaining vertex of the tringle.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos
  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Two vertices of a triangle are (0,-4) and (6,0).If the medians meet at the point (2,0), find the coordinates of the third vertex.

In a triangle one of the vertices is at (2,5) and the centroid of the triangle is at (-1,1). Find the coordinates of the midpoint of the side opposite to the given angular point.

Find the area of the triangle, whose vertices are (-2,-3) , (3,2) and (-1,-8)

If the vertices A,B,C of a triangle ABC are at (1,1,2),(2,2,3),(3,-1,-1) respectively, then using vector method find the area of the triangle.

Write the centroid of the triangle with vertices (1,2,3), (2,1,2), (3,0,1).

The coordinates of the vertices of a triangle are (alpha_1 , beta_1) , (alpha_2 , beta_2) and (alpha_3 , beta_3) Prove that the coordinates of its centroid are (alpha_1 + alpha_2 + alpha_3)//(3) , (beta_1 + beta_2 + beta_3)//(3) .

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  2. If the points (-1,-1,2), (2,m,5) and (3,11,6) are collinear, then find...

    Text Solution

    |

  3. Two vertices of a tringle are (1,2,3) and (3,-2,7) and centroid is (2,...

    Text Solution

    |

  4. Show that the points (1,2,3), (2,3,1) and (3,1,2) from an equilateral ...

    Text Solution

    |

  5. Find the direction cosines of the line segment joining (1,-1,2) and (...

    Text Solution

    |

  6. Find the projection of the line segment joining (1,2,3) and (2,3,4) on...

    Text Solution

    |

  7. If P,Q,R,S are points (1,2,5), (-2,1,3), (4,4,2) and (2,1,-4) respecti...

    Text Solution

    |

  8. If A,B,C are points (0,4,1), (2,3,-1), ), (4,5,0) find the angle that ...

    Text Solution

    |

  9. Find the acute angle between the lines whose d.rs are (1, 1, 2) and (s...

    Text Solution

    |

  10. Find the equation of the plane passing through the points (2,1,3), (3,...

    Text Solution

    |

  11. Find the equation of the plane parallel to z-axis and with intercepts ...

    Text Solution

    |

  12. Find the equation of the plane through the point (-1,3,0), which is pe...

    Text Solution

    |

  13. Find the equation of the plane if the point (5,-3,4) is the foot of th...

    Text Solution

    |

  14. Find the equation of a plane which is at a distance 3 units from the o...

    Text Solution

    |

  15. Find the components of the unit vector perpendicular to the plane r^ra...

    Text Solution

    |

  16. Writing the equation of the plane 3x-2y+z+2=0 in normal form find its ...

    Text Solution

    |

  17. Find the angle between the planes x+2y+3z+1=0 and 3x+2y+z+2=0

    Text Solution

    |

  18. Find the equation of the plane through the point (2,1,0) and passing t...

    Text Solution

    |

  19. Find the position of the points (1,2,-1) and (2,-1,3) with respect to ...

    Text Solution

    |

  20. Find the intercepts of a plane 3x+4y=7z=84on co-ordinate axes.

    Text Solution

    |