Home
Class 11
MATHS
The centroid of a triangle ABC is at the...

The centroid of a triangle `ABC` is at the point `(1,1,1)`, If the coordinates of A and B are `(-3,-5,7 )` and `(-1,7,6)` respectively, find the coordinates of the point `C`.

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    V PUBLICATION|Exercise Question Bank|88 Videos

  • LIMITS AND DERIVATIVES

    V PUBLICATION|Exercise QUESTION BANK|106 Videos

Similar Questions

Explore conceptually related problems

The centroid of the triangle ABC is at the point (1,2,3) . If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively. Find the coordinates of the point C.

(b)The centroid of a triangle ABC is at the point (1,2,3).If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively.Find the coordinates of the point C.

If the centroid of the triangle ABC is (1,1,1) and A and B are (3,-5,7) , (1,1,2) then find the coordinate of C.

The coordinates of the vertices of a triangle are(-1,5),(3,7),(1,1).Find the coordinates of its centroid.

If the co-ordinates of the points A, B, C, D be (1,2,3),(4,5,7) (-4,3,-6) and (2,9,2) respectively, then find the angle between the lines AB and CD

If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2)respectively,then find /_ABC.

In the figure, coordinates of two vertices of a rhombus are A(-1,2) and C(7,2) .Write the coordinates of midpoint of the diagonal AC. .

Draw the coordinate axes and mark the points A(1,1) , B(7,1) .

V PUBLICATION-INTRODUCTION TO THE DIMENSIONAL GEOMETRY-Question Bank
  1. Show that the points A(1,2,3),B(-1,-2,-1), C(2,3,2) and D(4,7,6) are t...

    Text Solution

    |

  2. Find the equation of the set of points such that its distances from th...

    Text Solution

    |

  3. The centroid of a triangle ABC is at the point (1,1,1), If the coordin...

    Text Solution

    |

  4. Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4) and C...

    Text Solution

    |

  5. Find the lengths of the medians of the triangle with vertices A(0,0,6...

    Text Solution

    |

  6. If the origin is the centroid of the triangle PQR with vertices P(2a,2...

    Text Solution

    |

  7. Find the coordinates of a point on y -axis which are at a distance of ...

    Text Solution

    |

  8. Find the equation of set of point P such that P A^2+P B^2=2 k^2, where...

    Text Solution

    |

  9. Find the distance between the points P(-2,4,1).and Q(1,2,-5).

    Text Solution

    |

  10. Prove by using distance formula that the A(1,2,3),B(-1,-1,-1) and C(...

    Text Solution

    |

  11. Determine the point in X Y plane which is equidistant from three point...

    Text Solution

    |

  12. Find the locus of the point which is equidistant from the point A(0,2,...

    Text Solution

    |

  13. Show that the point A(0,1,2), B(2,-1,3) and C(1,-3,1) are vertices of ...

    Text Solution

    |

  14. Find the coordinates of a point equidistant from the four points 0(0,0...

    Text Solution

    |

  15. Find the coordinates of a point which divides the join of P(2,-1,4) an...

    Text Solution

    |

  16. Find the coordinates of a point which divides the join of P(2,-1,4) an...

    Text Solution

    |

  17. Find the ratio in which the line joining the points (1,2,3) and (-3,4,...

    Text Solution

    |

  18. Find the ratio in which the join of A(2,1,5) and B(3,4,3) is divided b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |