Home
Class 10
MATHS
Two vertices of a triangle are (1,\ 2...

Two vertices of a triangle are `(1,\ 2),\ (3,\ 5)` and its centroid is at the origin. Find the coordinates of the third vertex.

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos

Similar Questions

Explore conceptually related problems

Two vertices of a triangle are (3,-1) and (-2,3) and its orthocentre is at the origin..Find the coordinates of eth third vertex.

Two vertices of a triangle are at (- 3, 1) and (0,2) and the centroid is at the origin. Find its third vertex.

If the two vertices of a triangle are (7,2) and (1,6) and its centroid is (4,6) then the coordinate of the third vertex are (a,b).the value of (a+b), is

Two vertices of a Delta ABC are given by A(6, 4) and B(-2, 2), and its centroid is G(3, 4). Find the coordinates of the third vertex C of Delta ABC .

If two vertices of a triangle are (2, 1, 3 ), (- 2, 3, - 1) and its centroid is the origin, then its third vertex is

Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of the triangle is the origin,find the coordinates of the third point.

Two vertices of a triangle are at the points (5,-2),(-3,6) and the centroid is at the (3,1) .Then the coordinates of the remaining vertex

The area of a triangle is 3 square units. Two of its vertices are A (3, 1), B (1, -3) and the centroid of the triangle lies on x-axis. Find the coordinates of the third vertex C .

Two vertices of a triangle ABC are B (- 3,1) and C (0,-2) and its centroid is at the origin. The third vertex A is:

RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Find the coordinates of the centroid of a triangle whose vertices a...

    Text Solution

    |

  2. Find the centroid of the triangle whose vertices are: (1,\ 4),\ (-1...

    Text Solution

    |

  3. Two vertices of a triangle are (1,\ 2),\ (3,\ 5) and its centroi...

    Text Solution

    |

  4. If (-2,\ 3),\ (4,\ -3) and (4,\ 5) are the mid-points of the sides ...

    Text Solution

    |

  5. In Fig. 14.40, a right triangle B O A is given. C is the mid-poi...

    Text Solution

    |

  6. Find the third vertex of a triangle, if two of its vertices are at ...

    Text Solution

    |

  7. Find the area of a triangle whose vertices are A(3,2),\ \ B(11 ,\ 8...

    Text Solution

    |

  8. Find the area of the triangle formed by joining the mid-points of the ...

    Text Solution

    |

  9. If P(1,\ 2),\ \ Q(1,\ 0) and R(0,\ 1) are the mid-points of the sid...

    Text Solution

    |

  10. The vertices of A B C are A(4,\ 6),\ \ B(1,\ 5) and C(7,\ 2) . A l...

    Text Solution

    |

  11. Find the area of the quadrilateral A B C D whose vertices are re...

    Text Solution

    |

  12. Prove that the points (2,\ -2),\ (-3,\ 8) and (-1,\ 4) are colli...

    Text Solution

    |

  13. For what value of x will the points (x ,\ -1),\ (2,\ 1) and (4,\...

    Text Solution

    |

  14. Find the condition that the point (x ,\ y) may lie on the line j...

    Text Solution

    |

  15. If the points (p ,\ q),\ (m ,\ n) and (p-m ,\ q-n) are collinear...

    Text Solution

    |

  16. Find k so that the point P(-4,\ 6) lies on the line segment join...

    Text Solution

    |

  17. If the coordinates of two points A and B are (3,\ 4) and (5,\ -2) re...

    Text Solution

    |

  18. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

    Text Solution

    |

  19. If the points A(1,\ -2),\ \ B(2,\ 3),\ \ C(-3,\ 2) and D(-4,\ -3) a...

    Text Solution

    |

  20. If the points P(-3,\ 9),\ \ Q(a ,\ b) and R(4,\ -5) are collinea...

    Text Solution

    |