Home
Class 12
MATHS
The angle between diagonal of a cube and...

The angle between diagonal of a cube and diagonal
of a face of the cube will be

A

`cos^(-1)((2)/(3))`

B

`cos^(-1)((1)/(3))`

C

`cos^(-1)sqrt((2)/(3))`

D

`cos^(-1)sqrt((1)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER MHT-CET 2016

    NIKITA PUBLICATION|Exercise MCQs|50 Videos

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

The angle between a diagonal of a cube and one of its edges is

What is the angle between the diagonal of one of the faces of the cube and the diagonal of the cube intersecting the diagonal of the face of the cube?

Find the angle between any two diagonals of a cube.

The angle between one of the diagonals of a cube and one of its edge is theta then sqrt(3)cos theta=

NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. Direction ratios of two lines satisfy the relations 2a-b+2c=0 and ab+...

    Text Solution

    |

  2. IF the direction ratios of two vectors are connected by the relations ...

    Text Solution

    |

  3. The angle between diagonal of a cube and diagonal of a face of the c...

    Text Solution

    |

  4. Let l(1),m(1),n(1),l(2),m(2),n(2) and l(3),m(3), n(3) are direction co...

    Text Solution

    |

  5. The direction cosines of a line equally inclined to three mutually per...

    Text Solution

    |

  6. Find the direction cosines of the two lines which are connected by ...

    Text Solution

    |

  7. If l(1), m(1), n(1) and l(2), m(2), n(2) are the direction cosines of ...

    Text Solution

    |

  8. The direction ratios of vector perpendicular to the two lines whose di...

    Text Solution

    |

  9. The direction ratios of a vector perpendicular to the two lines whose ...

    Text Solution

    |

  10. Find the direction cosines of the line which is perpendicular to the l...

    Text Solution

    |

  11. Direction ratios of the line which is perpendicular to the lines with ...

    Text Solution

    |

  12. The direction cosines of the line which is perpendicular to the lines ...

    Text Solution

    |

  13. The direction ratios of a line which is perpendicular to the two line...

    Text Solution

    |

  14. The direction ratios of a line which is perpendicular to the two line...

    Text Solution

    |

  15. Points (-2, 4, 7), (3, -6 -8) and (1, -2, -2) are

    Text Solution

    |

  16. If the points (-1, 3, 3), (-2, 0, 1), (-4, -6, -3) and (2, 12, 9) are

    Text Solution

    |

  17. prove that point A(5, -1, 1), B(7, -4, 7), C(1, -6, 10) and D(-1, -3, ...

    Text Solution

    |

  18. The points (5, -4, 2), (4, -3, 1), (7, -6, 4) and (8, -7, 5) are the v...

    Text Solution

    |

  19. The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are the ve...

    Text Solution

    |

  20. The points (0, 7, 10), (-1, 6, 6), (-4, 9, 6) form

    Text Solution

    |