Home
Class 11
MATHS
The co-ordinates of points A, B and C ar...

The co-ordinates of points A, B and C are (1, 2),(-2, 1) and (0, 6) respectively. Verify that the medians of the triangle ABC are concurrent. Also, find the co-ordinates of the point of concurrence (centroid).

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos
  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinates of the points A,B,C and D in the given figure.

Show that the perpendicular bisectors of the sides of the triangle with vertices (7, 2), (5, -2) and (- 1, 0) are concurrent. Also find the co-ordinates of the point of concurrence (circumcentre).

The co-ordinates of two points A and B are (-1, 4) and (5, 1) respectively. Find the co-ordinates of the point P, which lies on extended time AB such that it is three times as far from B as from A.

Prove that the following lines are concurrent. Also, find the point of concurrence : 2x+3y-4=0,x-5y+ 7=0, 6x- 17y + 24=0 .

The points A (4, 2), B (-2, 2) and D (4,-2) are three vertices of rectangle ABCD. Plot these points on a graph paper and hence find the co-ordinates of vertex C.

The co-ordinates of a point are (1, -2, 7). Find the co-ordinates of the seven points whose absolute values are the same as those of the co-ordinates of the given point.

If a circle, whose centre is (-1,1) touches the straight line x+2y = 12, then the co-ordinates of the point of contact are

A triangle ABC right angled at A has points A and B as (2, 3) and (0, -1) respectively. If BC = 5 units, then the point C is

The vertices of a triangle are (4, -3), (-2, 1) and (2, 3). Find the co-ordinates of the circumcentre of the triangle. [Circumcentre is the point of concurrence of the right-bisectors of the sides of a triangle.]

MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Prove analytically that the : medians of a triangle are concurrent.

    Text Solution

    |

  2. Prove analytically that the altitudes of a triangle are concurrent.

    Text Solution

    |

  3. The co-ordinates of points A, B and C are (1, 2),(-2, 1) and (0, 6) re...

    Text Solution

    |

  4. Prove that the diagonals of a square are equal.

    Text Solution

    |

  5. Which of the following statements are True or False : The diagonals of...

    Text Solution

    |

  6. Say True or False: The diagonals of a square are perpendiculare to one...

    Text Solution

    |

  7. If two medians of a triangle are equal, prove that the triangle is iso...

    Text Solution

    |

  8. Prove that the median from the vertex of an isosceles triangle is the ...

    Text Solution

    |

  9. If the diagonals of a parallelogram are perpendicular, then it is a rh...

    Text Solution

    |

  10. Which of the following statements are True or False : If the diagonals...

    Text Solution

    |

  11. Classify the following pairs of lines as coincident, parallel, perpend...

    Text Solution

    |

  12. Classify the following pairs of lines as coincident, parallel, perpend...

    Text Solution

    |

  13. Classify the following pairs of lines as coincident, parallel, perpend...

    Text Solution

    |

  14. Classify the following pairs of lines as coincident, parallel, perpend...

    Text Solution

    |

  15. Classify the following pairs of lines as coincident, parallel, perpend...

    Text Solution

    |

  16. Find the distance between the line and the point of the following : ...

    Text Solution

    |

  17. Find the distance between the line and the point of the following : ...

    Text Solution

    |

  18. Find the distance between the line and the point of the following : ...

    Text Solution

    |

  19. Find the distance between the line and the point of the following : ...

    Text Solution

    |

  20. Find the distance between the line and the point of the following : ...

    Text Solution

    |