Home
Class 10
MATHS
The points A(2,\ 0),\ \ B(9,\ 1),\ \ C(1...

The points `A(2,\ 0),\ \ B(9,\ 1),\ \ C(11 ,\ 6)` and `D(4,\ 4)` are the vertices of a quadrilateral `A B C D` . Determine whether `A B C D` is a rhombus or not.

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

The points A(2,0),\ B(9,1),\ C(11 ,6)a n d\ D(4,4) are the vertices of a quadrilateral A B C Ddot Determine whether ABCD is a rhombus or not.

Show that A(-3,\ 2),\ \ B(-5,\ -5),\ \ C(2,\ -3) and D(4,\ 4) are the vertices of a rhombus.

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

If A(-5,\ 7),\ B(-4,\ -5),\ C(-1,\ -6)\ a n d\ D(4,\ 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

If the points A(a ,\ -11),\ \ B(5,\ b),\ \ C(2,\ 15) and D(1,\ 1) are the vertices of a parallelogram A B C D , find the values of a and b .

Prove that the points A (9,0) , B(9,6) , C (-9 , 6) and D (-9,0) are the vertices of a rectangle .

Show that the points A (-1,-4) , B(3,3) , C(3,4) and D(-1,-3) are the vertices of a rhombus.

Points A (-3, -2), B (-6, a), C (-3, -4) and D(0, -1) are thte vertices of quadrilateral ABCD, find a if 'a' is negative and AB = CD

If A(1,\ 2),\ \ B(4,\ 3) and C(6,\ 6) are the three vertices of a parallelogram A B C D , find the coordinates of fourth vertex D .

If A(5,7),B(-4,-5),C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. If two vertices of a parallelogram are (3,\ 2),\ (-1,\ 0) and the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If A and B are two points having coordinates (-2,\ -2) and (2,\ 4) r...

    Text Solution

    |

  19. Find the coordinates of the points which divide the line segment joini...

    Text Solution

    |

  20. A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of triangle A B C . ...

    Text Solution

    |