Home
Class 12
MATHS
The points (5,-4,2),(4,-3,1),(7,-6,4),(8...

The points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) are vertices of a:

A

a rectangle

B

a square

C

a parallelogram

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos
  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

The points (5, -5, 2), (4, -3, 1), (7, -6, 4) and (8, -7, 5) are the vertices of

Show that the points A(1,3),B(2,6),C(5,7) and D(4,4) are the vertices of a rhombus .

Show that (-1,2,1),(1,-2,5),(4,-7,8) and(2,-3,4) are the vertices of parallelogram.

The points (6,-1,2),(5,2,4) and (8,-7,k) are collinear, then k =

The points (5, 2, 4), (6,-1, 2) and (8, -7, k) are collinear if k is equal to :

Show that the points A(5,-1,1) , B (7,-4,7) , C(1,-6,10) , D(-1,-3,4) from a rhombus.

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

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

Prove that (4,-1), (6, 0), (7,2), and (5,1) are the vertices of a rhombus but not a square.

Check whether (5, -2), (6, 4) and (7, 2) aare the vertices of as isoceles triangle.

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  2. A line which makes angle 60^(o) with y -axis and z-axis, then the angl...

    Text Solution

    |

  3. The points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) are vertices of a:

    Text Solution

    |

  4. The line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) is parallel to the plane

    Text Solution

    |

  5. The point equidistant from (a, 0, 0), (0, a, 0), (0, 0, a) and (0, 0, ...

    Text Solution

    |

  6. The line joining the points (3,5,-7) and (-2,1,8) meets the yz -plane ...

    Text Solution

    |

  7. If the coordinates of the vertices of a triangle ABC be A(-1,3,2), B(2...

    Text Solution

    |

  8. The equation of the plane in which the lines (x-5)/4 = (y-7)/4 = (z+3)...

    Text Solution

    |

  9. If P be the point (2,6,3) then the equation of the plane through P at ...

    Text Solution

    |

  10. The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the t...

    Text Solution

    |

  11. The intercepts of the plane 5x-3y+6z = 60 on the co-ordinate axes are

    Text Solution

    |

  12. Equation of x-axis is

    Text Solution

    |

  13. The angle between the line x/2 = y/3 = z/4 and the plane 3x+2y-3z = 4 ...

    Text Solution

    |

  14. The equation of a line of intersection of planes 4x+4y-5z=12 and 8x+12...

    Text Solution

    |

  15. The equation of the plane which makes with coordinate axes a triangle ...

    Text Solution

    |

  16. A variable plane moves, so that the sum of the reciprocals of its inte...

    Text Solution

    |

  17. Equation of the plane passing through the line of intersection of the ...

    Text Solution

    |

  18. The point of intersection of the line (x-5)/3 = (y-7)/(-1) = (z+2)/1 ,...

    Text Solution

    |

  19. The angle between the planes x+2y+2z =3 and -5x+3y+4z = 9 is

    Text Solution

    |

  20. The distance of the point A(2,3,4) from x-axis is

    Text Solution

    |