Home
Class 11
MATHS
Three vertices of a parallelogram, taken...

Three vertices of a parallelogram, taken in order, are (-1, -6), (2,-5) and (7,2). Write the coordinates of its fourth vertex.

Text Solution

Verified by Experts

Let `{A}(-1,-6), {B}(2,-5), {C}(7,2)` and `{D}({x}, {y}).`
`AC `and `BD`are diagonals.
So, we know that the diagonals bisect each other in parallelogram, so the diagonals are divided in ratio `1: 1.`
Mid-point co-ordinates of` AC=` Mid-point co-ordinates of `BD.` ...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

The three vertices of a parallelogram taken in order are -1,0 ,(3,1) and (2,2) respectively.Find the coordinates of the fourth vertex.

The three vertices of a parallelogram ABCD taken in order are A(3, -4), B(-1, -3) and C(-6, 2). Find the coordinates of the fourth vertex D.

(iv) The three vertices of a parallelogram are taken in order (-1;0);(3;1) and (2;2) respectively.Find the coordinates of 4th vertex.

If the three vertices of a rectangle taken in order are the points (2, -2), (8, 4) and (5, 7). The coordinates of the fourth vertex is

If the three vertices of a parallelogram ABCD are A(3, -1, 5), B(1, -2, -4) and C(0, 3, 0), then the coordinates of fourth vertex is

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.

If three vertices of a parallelogram taken in order are (-1, 0), (3, 2) and (2, 3) then area of the parallelogram is

The co-ordinates of three vertices of a parallelogram ABCD are A(1,0) , B(3,4) and C(1,2) . The co-ordinates of fourth vertex D are :

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. The area of a triangle with vertices at (-4,-1), (1,2) and (4,-3) is ...

    Text Solution

    |

  2. The line segment joining the points (1,2) and (-2,1) is divided by the...

    Text Solution

    |

  3. If the point (5,2) bisects the intercept of a line between the axes, ...

    Text Solution

    |

  4. A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If "Del...

    Text Solution

    |

  5. If p be the length of theperpendicular from the origin on the line x//...

    Text Solution

    |

  6. The equation of the line passing through (1,5) and perpendicular to th...

    Text Solution

    |

  7. The figure formed by the lines a x+-y+-c=0 is a. a rectangle b. a squa...

    Text Solution

    |

  8. Two vertices of triangle are (-2,-1) and (3,2) and third vertex lies o...

    Text Solution

    |

  9. (i) Find the gradient of a straight line which is passes through the p...

    Text Solution

    |

  10. The angle between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is ^0 d. 30...

    Text Solution

    |

  11. Distance between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is (35)/(sq...

    Text Solution

    |

  12. The value of lambda for which the lines 3x+4y=5,5x+4y=4\ a n d\ lambda...

    Text Solution

    |

  13. Three vertices of a parallelogram, taken in order, are (-1, -6), (2...

    Text Solution

    |

  14. The centroid of triangle is (2,7) and two of its vertices are (4,8)...

    Text Solution

    |

  15. The medians A D\ a n d\ B E of a triangle with vertices A(0, b),\ B(0,...

    Text Solution

    |

  16. The equation of the line with gradient -3/2 which is concurrent with t...

    Text Solution

    |

  17. A point equidistant from the line 4x+3y+2=0,\ 5x-12 y+26=0\ a n d\ 7x+...

    Text Solution

    |

  18. Find the ratio in which the line 3x+4y+2=0 divides the distance betwee...

    Text Solution

    |

  19. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  20. Find the image of the point (4,-13) in the line 5x+y+6=0.

    Text Solution

    |