Home
Class 10
MATHS
Prove that the points (3,\ -2),\ (4,\...

Prove that the points `(3,\ -2),\ (4,\ 0),\ (6,\ -3)` and `(5,\ -5)` are the vertices of a parallelogram.

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

Show that the points A(1,\ -2),\ \ B(3,\ 6),\ \ C(5,\ 10) and D(3,\ 2) are the vertices of a parallelogram.

Prove that the points (4,\ 5),\ (7,\ 6),\ (6,\ 3),\ (3,\ 2) are the vertices of a parallelogram. Is it a rectangle.

Show that the points A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7) and D(-2,\ 4) are the vertices of a parallelogram.

Prove that the points (3, 2), (6, 3), (7, 6) and (4, 5) are the vertices of a parallelogram. Is it a rectangle?

Prove that the points (-1, -2), (-2, -5), (-4, -6) and (-3, -3) are the vertices of a parallelogram.

By using the concept of slope, show that the points (-2,-1), (4,0), (3,3) and (-3,2) are the vertices of a parallelogram.

Prove that the points (-2, -1), (1, 0), (4, 3) and (1, 2) are the vertices of a parallelogram.

Show that the points (1, 2, 3), (-1, -2, -1), (2, 3, 2) and (4, 7, 6) are the vertices of a parallelogram.

Using the slope of line, show that the points (-1,-2) , (0,4) , (3,3) and (2,-3) are the vertices of a parallelogram.

Without using distance formula, show that points (-2, -1), (4, 0) , (3, 3) , and (-3, 2) are the vertices of a parallelogram.

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the points of trisection of the line segment joining the point...

    Text Solution

    |

  2. Find the coordinates of the point where the diagonals of the parall...

    Text Solution

    |

  3. Prove that the points (3,\ -2),\ (4,\ 0),\ (6,\ -3) and (5,\ -5) ar...

    Text Solution

    |

  4. Three consecutive vertices of a parallelogram are (-2,\ -1),\ (1,\ ...

    Text Solution

    |

  5. The three vertices of a parallelogram ABCD taken in order are A(3, -4)...

    Text Solution

    |

  6. Find the ratio in which the point (2,\ y) divides the line segme...

    Text Solution

    |

  7. If A(-1,\ 3),\ \ B(1,\ -1) and C(5,\ 1) are the vertices of a trian...

    Text Solution

    |

  8. If the coordinates of the mid-points of the sides of a triangle are...

    Text Solution

    |

  9. If a vertex of a triangle be (1,\ 1) and the middle points of th...

    Text Solution

    |

  10. In what ratio is the line segment joining the points A(-2, -3) and B(...

    Text Solution

    |

  11. In what ratio is the line segment joining (-3,\ -1) and (-8,\ -9) d...

    Text Solution

    |

  12. If the middle point of the line segment joining (3, 4) and (k, 7) is (...

    Text Solution

    |

  13. In what ratio does the line x -y - 2 = 0 divides the line segment join...

    Text Solution

    |

  14. Find the ratio in which the line segment joining (-2, -3) and (5, 6)...

    Text Solution

    |

  15. Prove that the points (4,\ 5),\ (7,\ 6),\ (6,\ 3),\ (3,\ 2) are the...

    Text Solution

    |

  16. Prove that (4,\ 3),\ (6,\ 4),\ (5,\ 6) and (3,\ 5) are the angular ...

    Text Solution

    |

  17. Show that the points (-4,\ -1),\ \ (-2,\ -4),\ \ (4,\ 0) and (2,\ 3)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |