Home
Class 10
MATHS
Three vertices of a parallelogram are...

Three vertices of a parallelogram are `(a+b ,\ a-b),\ \ (2a+b ,\ 2a-b),\ (a-b ,\ a+b)` . Find the fourth vertex.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|32 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

Similar Questions

Explore conceptually related problems

Three vertices of a parallelogram are (0, 0, 0), (2, -1, 2) and (5, 6, 8) Find the coordinates of the Fourth vertex.

Three consecutive vertices of a parallelogram are (-2,\ -1),\ (1,\ 0) and (4,\ 3) . Find the fourth vertex.

Three vertices of a parallelogram are (1, 2, 1), (2, 5, 6) and (1, 6, 0) Find the coordinates of the fourth vertex.

If three consecutive vertices of a parallelogram are (1,\ -2),\ (3,\ 6) and (5,\ 10) , find its fourth vertex.

The coordinates of three consecutive vertices of a parallelogram are (1, 3), (-1, 2) and (2, 5). Then find the coordinates of the fourth vertex.

The co-ordinates of three consecutive vertices of a parallelogram are (-1,0), (3, 1) and (2, 2). Find the co-ordinates of fourth vertex of the parallelogram.

If the vertices of a parallelogram ABCD are A ( 1,2,3) . B ( -1,-2,-1) and C (2,3,2) then find the fourth vertex D.

Three vertices of a parallelogram ABCD are A (3,-1,2), B (1, 2, 4) and C(-1,1,2). Find the coordinates of the fourth vertex D.

Three vertices of a parallelogram ABCD are A (3, 1, 2) , B (1, 2, 4) and C ( 1, 1, 2) . Find the coordinates of the fourth vertex.

Three vertices of a parallelogram ABCD are A(3, 1, 2), B(0, 1, 5) and C(-1, 2, -3) Find the coordinates of the fourth vertex.

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Show that the points (-4,\ -1),\ \ (-2,\ -4),\ \ (4,\ 0) and (2,\ 3)...

    Text Solution

    |

  2. Find the lengths of the medians of a triangle whose vertices are A(...

    Text Solution

    |

  3. Three vertices of a parallelogram are (a+b ,\ a-b),\ \ (2a+b ,\ 2a-...

    Text Solution

    |

  4. If two vertices of a parallelogram are (3,\ 2),\ (-1,\ 0) and the ...

    Text Solution

    |

  5. If the points (-2,\ -1),\ (1,\ 0),\ (x ,\ 3) and (1,\ y) form a ...

    Text Solution

    |

  6. The points A(2,\ 0),\ \ B(9,\ 1),\ \ C(11 ,\ 6) and D(4,\ 4) are the ...

    Text Solution

    |

  7. If three consecutive vertices of a parallelogram are (1,\ -2),\ (3,...

    Text Solution

    |

  8. If the points A(a ,\ -11),\ \ B(5,\ b),\ \ C(2,\ 15) and D(1,\ 1) a...

    Text Solution

    |

  9. If the coordinates of the mid-points of the sides of a triangle be ...

    Text Solution

    |

  10. Find the lengths of the medians of a A B C having vertices at A...

    Text Solution

    |

  11. Find the lengths of the medians of a A B C having vertices at A(5...

    Text Solution

    |

  12. Find the coordinates of the points which divide the line segment jo...

    Text Solution

    |

  13. Show that the mid-point of the line segment joining the points (5,\7...

    Text Solution

    |

  14. Find the distance of the point (1,\ 2) from the mid-point of the...

    Text Solution

    |

  15. If A and B are (1,\ 4) and (5,\ 2) respectively, find the coordinat...

    Text Solution

    |

  16. Show that the points A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7) and D(-2,\ ...

    Text Solution

    |

  17. Determine the ratio in which the point P(m ,\ 6) divides the joi...

    Text Solution

    |

  18. Determine the ratio in which the point (-6,\ a) divides the join...

    Text Solution

    |

  19. The line segment joining the points (3,\ -4) and (1,\ 2) is tris...

    Text Solution

    |

  20. The line joining the points (2,\ 1) and (5,\ -8) is trisected at...

    Text Solution

    |