Home
Class 12
MATHS
The edge of a cube is of length of a. Th...

The edge of a cube is of length of a. The shortest distance between the diagonals of a cube an edge skew to it is ........

A

`a sqrt(2)`

B

`a`

C

`sqrt(2)/(a)`

D

`(a)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

The angle between the two diagonals of a cube is .....

The shortest distance between line y-x=1 and curve x=y^2 is

Find the volume of a cube whose edge is 'a' units

Show that the angle between the diagonal of a cube is cos^(-1)((1)/(3)) .

The edge of a cube is 6 cm. Find the area of its lateral surfaces.

A cube with mass m completely wettable by water floats on the surface of water each side of the cube is a what is the distance h between the lower face of cube and the surface of the water if surafce tension is S. Take densities of water as rho_(w) take angle of contact is zero.

Find the volume of cube if,its edge is 10 cm.

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The angle between the two diagonals of a cube is .....

    Text Solution

    |

  2. A line makes the angle alpha, beta , gamma and delta with the diagonal...

    Text Solution

    |

  3. The edge of a cube is of length of a. The shortest distance between th...

    Text Solution

    |

  4. The projection of a line on the axes are 9,12, and 8. The length of th...

    Text Solution

    |

  5. The straight lines whose direciton cosines are given by al + bm + cn =...

    Text Solution

    |

  6. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

    Text Solution

    |

  7. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

    Text Solution

    |

  8. Prove that if the lines x = ay + b, z = cy + d and x = a'y + b', z = c...

    Text Solution

    |

  9. The lines (x-1)/(3) = (y-1)/(-1) = (z+1)/0 and (x-4)/(2) = (y+0)/(0) =...

    Text Solution

    |

  10. The equation of motion of a point in space is x = 2t, y = -4 t, z=4t ...

    Text Solution

    |

  11. The distance of the point P (4,3,5) from Y-axis is lambda then 5lambda...

    Text Solution

    |

  12. A line makes an angle of measure alpha with X-axis and Y-axis cot alph...

    Text Solution

    |

  13. The angle between the lines (x+1)/(2) + (y+3)/(2) = (z-4)/(-1) and (x-...

    Text Solution

    |

  14. If the foot of perpendicular drawn from the point (a,b,c) and the line...

    Text Solution

    |

  15. The distance between the lines x = 1 - 4t,y=2+ t, z= 3 + 2t and x=1 +S...

    Text Solution

    |

  16. The distance ratio of two lines are (5,-12,13) and (-3,4,5) . Then the...

    Text Solution

    |

  17. If cos alpha, cos beta, gamma are direciton cosines then cos 2 alpha +...

    Text Solution

    |

  18. A line makes an angle alpha,beta and gamma with axes repectively, The ...

    Text Solution

    |

  19. The angle between the lines 2x = 3y = -z and 6x = -y = -4x is ...........

    Text Solution

    |

  20. Givne lines are (x-1)/(l) = (y + 1)/(m) = z/n and (x+1)/(m) = (y-3)/...

    Text Solution

    |