Home
Class 12
MATHS
The coordinates of the vertex A of the ...

The coordinates of the vertex A of the triangle ABC are ( - 3 , -4, -2) , if the coordinates of its centroid are ( 1 , - 2 , 2) , then find the coordinates of the mid - point of the side `overline(BC)`

Text Solution

Verified by Experts

The correct Answer is:
( 3 , -1 , 4)
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( A M . C . Q)|5 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (B Integer Answer Type)|5 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|60 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the vertex A of the triangle ABC are (-3,-4,-2) , if the coordinates of its centroid are (1,-2,2) , then find the coordinates of the mid -point of the side bar(BC) .

The coordinates of the vertex A of the triangle ABC are (7,-4) . If the coordinates of the centroid of the triangle be (1,2) , find the coordinates of the mid - point of the side overline(BC) .

Two vertices of triangle are (4 , 3 , -6) , (3 , -4 , 4) and the coordinates of its centroid are ( 2 , - 2 , 1) , find the coordinates of the third vertex of the triangle.

The coordinates of the centroid of the triangle ABC are ( 1 , 1, 1) , if the coordinates of B and C are ( 1 , 1, 2) and ( -1 , 7 , -6) respectively , then find the coordiantes of the vertex A .

The coordinates of the vertex A of the triangle ABC are (2,5), if the centroid of the triangle is at (-2, 1), then the coordinates of the mid-point of the side BC are-

The coordinates of A of the DeltaABC are (2,5) and the coordinates of its centroid are (-2,1). Find the coordinates of the mid-point of BC.

The coordinate of the vertices B and C of the triangle ABC are (5,2,8) and (2, -3, 4) respectively, if the coordinates of the centroid of the triangle are (3, -1,3), then the coordinates of the vertex A are-

The coordinates of the vetex A of the triangle ABC are (2,5,-3), if centroid of the triangle is at (-2,1,3), find the coordinates of the mid points on the side BC.

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

The coordinates of the vertex A of Delta ABC are (2,5), if the centroid of the triangle at (-2,1), find the coordiinates of the mid-point of the side overline(BC) .

CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Short Answer Type Questions
  1. Find the ratio in which the line segment joining A ( 2 , 4 , 5) and B ...

    Text Solution

    |

  2. Let A ( 2 , - 4 , - 3) and B ( - 4 , 2 , 3) be two given points if...

    Text Solution

    |

  3. Find the coordinates of the point in zx-plane which is equidistant fro...

    Text Solution

    |

  4. Find the coordinates of the points on z-axis which are at a distance s...

    Text Solution

    |

  5. A ( 1 , 3 , 0) , B ( 2 , 2 , 1) and C ( 5 , - 1 , 4) are the vertices ...

    Text Solution

    |

  6. IF the z-coordinates of a point C on the line - segment joining the ...

    Text Solution

    |

  7. If A ( 1 , y , z) lies on the line through the points b ( 3 , 2 , - 1...

    Text Solution

    |

  8. Find the coordinates of the centriod of the triangle whose vertices ...

    Text Solution

    |

  9. Using section formula, show that the points A (3 , 2 , -4) , b ( 5 , ...

    Text Solution

    |

  10. The line-segment joining the points A (1 , 2 , 3) and b ( - 3 , 4 ...

    Text Solution

    |

  11. Prove that the xy-plane divides the line-segment joining the points A(...

    Text Solution

    |

  12. If ( - 4 , 7 , 5) , ( 2 , - 6 , - 3) and ( 8 , 2 , - 5) are the co...

    Text Solution

    |

  13. Find the consine of the angle B of the triangle formed by joining t...

    Text Solution

    |

  14. If the point C( x , y , -14) lies on the line-segment overline(AB) ...

    Text Solution

    |

  15. Prove that the plane ax + by + cz + d = 0 divides the line-segment joi...

    Text Solution

    |

  16. The coordinates of the centroid of the triangle ABC are ( 1 , 1, 1) , ...

    Text Solution

    |

  17. The coordinates of the vertex A of the triangle ABC are ( - 3 , -4, ...

    Text Solution

    |

  18. Using section formula show tht the points A ( 9 , 8 , -10) , B ( 3 , 2...

    Text Solution

    |

  19. The coordinates of the centroid of the triangle formed by joining the ...

    Text Solution

    |

  20. Prove that the plane ax - by + cz + d = 0 divides the line-segment jo...

    Text Solution

    |