Home
Class 12
MATHS
Three vertices of a parallelogram ABCD a...

Three vertices of a parallelogram ABCD are `A(3,-1,2),B(1,2,-4)` and `C(-1,1,2)`. The corrdinates of the fourth vertex is

A

`(1,-2,4)`

B

`(1,-2,8)`

C

`(2,-2,8)`

D

`(1,0,8)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|34 Videos

  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

Similar Questions

Explore conceptually related problems

Three vertices of a rectangle are (3,2),(-4,2) and (-4,5). Plot the points and find the coordinates of the fourth vertex.

If A(3,5), B(-5, - 4), C(7, 10) are the vertices of a parallelogram, taken in the order, then the co-ordinates of the fourth vertex are

The vertices of a triangle are A(-1, 3), B(1, -1) and C(5, 1) . Find the length of the median through the vertex C.

The vertices of the rectangle ABCD are A(-1,0), B(2, 0), C(a, b) and D(-1, 4). Then the length of the diagonal AC is

Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-1) , C ( 1,2,3) and D. Distance of the point P ( 8, 2,-12) from the plane of the parallelogram is

Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-1) , C ( 1,2,3) and D. Distance of the point P ( 8, 2,-12) from the plane of the parallelogram is

Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-1) , C ( 1,2,3) and D. The distance between the parallel lines AB and CD is

The volume of a right triangular prism ABCA_1B_1C_1 is equal to 3. If the position vectors of the vertices of thebase ABC are A(1, 0, 1), B(2,0, 0) and C(O, 1, 0) , then position vectors of the vertex A_1 , can be

NEW JOYTHI PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. The distance between P(1,-3,4) and Q(-4,1,2) is

    Text Solution

    |

  2. The points A(3,6,9),B(10,20,30) and C(25,-41,5)

    Text Solution

    |

  3. Show that the points (1, 2, -1), (2, 5, 1) and (0, -1, -3) are colline...

    Text Solution

    |

  4. Find the equation of the set of points which are equidistant from the ...

    Text Solution

    |

  5. The equation of the set of points P, the sum of whose distances from A...

    Text Solution

    |

  6. The points (-4,6,10),(2,4,6) and (14,k,-2) are collinear then k is

    Text Solution

    |

  7. The ratio in which the point Q(5,4,-6) divides the line joining the po...

    Text Solution

    |

  8. Find the ratio in which the YZ-plane divides the line segment formed b...

    Text Solution

    |

  9. The coordinates of a point which trisect the line segment joining the ...

    Text Solution

    |

  10. Three vertices of a parallelogram ABCD are A(3,-1,2),B(1,2,-4) and C(-...

    Text Solution

    |

  11. Three vertices of a rectangle are (3,2),(-4,2) and (-4,5). Plot the po...

    Text Solution

    |

  12. If the origin is the centroid of the triangle PQR with vertices P(2a,2...

    Text Solution

    |

  13. Find the distance of the following pair of point: findthe voordinates ...

    Text Solution

    |

  14. A point R with x-coordinate 4 lies on the line segment joining the poi...

    Text Solution

    |

  15. The vertices of a triangle have integer co- ordinates then the triang...

    Text Solution

    |

  16. The vertices of a triangle are (3,2,5),(3,2,-1) and (7,2,5). The circu...

    Text Solution

    |

  17. The locus of a point P(x,y,z) which moves in such a way that z=c (cons...

    Text Solution

    |

  18. The distance of the point P(a,b,c) from the z axis is

    Text Solution

    |

  19. A(3,2,0),B(5,3,2) and C(-9,6,-3) are the vertices of triangle ABC. If ...

    Text Solution

    |