Home
Class 11
MATHS
If the origin is the centroid of the tri...

If the origin is the centroid of the triangle PQR with vertices P (2a, 2, 6), Q (- 4, 3b,-10) and R(8, 14, 2c), then find the values of a, b and c.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the origin is the centroid of the triangle PQR with vertices P(2a,2,6), Q(-4,3b,-10) and R(8,14,2c), then find the value of a,b and c.

If the origin is the centroid of triangle ABC, with vertices A(a,1,3), B(-2,b,-5) and C(4,7,c). Find the values of a,b and c.

If G is the centroid and l the in-centre of the triangle, with vertices A(- 36, 7), B(20, 7) and C (0, -8) , then, find the value of Gl

Find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) and C (1, 5, 5).

Determine the angle B of the triangle with vertices A (- 2, 1), B (2, 3) and C (- 2, - 4).

Using vectors, find the area of the triangle having vertices A (2, 5, 6), B (3, 3, 1) and C (4, 6, 3)

Find the measure of the angle A of the triangle ABC with vertices A (2, 3), B (-2, 2) and C(0, 2).

Find the area of the triangle whose vertices are : A(1,2,3), B(2,-1,4) and C(4,5,-1)

In the triangle with vertices A (2, 3), B (4, -1) and C (-1,2), find the equation and length of the altitude from the vertex A.

PSEB-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the distance between the following pair of points: (2, 3, 5) and ...

    Text Solution

    |

  2. Find the distance between the following pair of points: (-3, 7, 2) and...

    Text Solution

    |

  3. Find the distance between the following pair of points: (-1,3,-4) and ...

    Text Solution

    |

  4. Find the distance between the following pair of points: (2, -1, 3) and...

    Text Solution

    |

  5. Show that the points (-2, 3, 5), (1, 2, 3) and (7, 0, -1) are collinea...

    Text Solution

    |

  6. Verify the following: (0, 7, -10), (1, 6, -6) and (4, 9,-6) are the ve...

    Text Solution

    |

  7. Verify the following: (0, 7, 10), (-1,6, 6) and (- 4, 9, 6) are the ve...

    Text Solution

    |

  8. Verify the following: (-1, 2, 1), (1, -2, 5), (4, -7, 8) and (2, -3, 4...

    Text Solution

    |

  9. Find the equation of the set of points which are equidistant from the ...

    Text Solution

    |

  10. Find the equation of the set of points P, the sum of whose distances f...

    Text Solution

    |

  11. Find the coordinates of the point which divides the line segment joini...

    Text Solution

    |

  12. Given that P (3, 2,-4), Q (5, 4,-6) and R (9, 8, -10) are collinear. F...

    Text Solution

    |

  13. Find the ratio in which theYZ-plane divides the line segment formed by...

    Text Solution

    |

  14. Using section formula, show that the points A (2, -3, 4), B (-1, 2, 1)...

    Text Solution

    |

  15. Find the coordinates of the points which trisect the line segment join...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the coordinates of a point on y-axis which are at a distance of 5...

    Text Solution

    |

  19. A point R with x-coordinate 4 lies on the line segment joining the poi...

    Text Solution

    |

  20. If A and B be the points (3, 4, 5) and (-1,3, -7), respectively, find ...

    Text Solution

    |