Home
Class 12
MATHS
The angle between the lines whose direct...

The angle between the lines whose direction cosines `l`, m, n satisfy the equations `5l+m+3n=0` and `5mn-2nl+6lm=0` is

A

`cos^(-1)((1)/(sqrt(6)))`

B

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

C

`cos^(-1)((1)/(6))`

D

`cos^(-1)((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 the straight lines, whose direction cosines are given by the equations 2l+2m -n=0 and mn+nl+lm=0 , is :

Find the angle between the lines whose direction cosines are given by the equations 3l+m+5n=0 and 6mn-2nl+5lm=0

An angle between the lines whose direction cosines are given by the equations, 1+ 3m + 5n =0 and 5 lm - 2m n + 6 nl =0, is :

The angle between the lines whose direction cosines are given by the equatios l^2+m^2-n^2=0, m+n+l=0 is

The angle between the lines whose direction cosines satisfy the equations l+m+n=0 and l^(2)=m^(2)+n^(2) is (1) (pi)/(3)(2)(pi)/(4)(3)(pi)/(6) (4) (pi)/(2)

Show that the angle between the straight lines whose direction cosines are given by the equation l+m+n=0 and amn+bnl+clm=0 is pi/3 if 1/a+1/b+1/c=0

Let alpha be the angle between the lines whose direction cosines satisfy the equation l+m-n=0 and l^2+m^2-n^2=0 then value of (Sinalpha)^4+(Cosalpha)^4 is

NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. The direction cosines l, m and n of two lines are connected by the rel...

    Text Solution

    |

  2. If the direction ratio of two lines are given by 3lm-4ln+mn=0 and l+2m...

    Text Solution

    |

  3. The angle between the lines whose direction cosines l, m, n satisfy t...

    Text Solution

    |

  4. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |

  5. Direction ratios of two lines satisfy the relations 2a-b+2c=0 and ab+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |