Home
Class 12
MATHS
If a line makes angles of 90^@,60^@ and ...

If a line makes angles of `90^@,60^@ and 30^@` with the positive x, y and z axis respectively, find its direction-cosines.

A

`lt0,1/2,sqrt3/2gt`

B

`lt1,1/2,sqrt3/2gt`

C

`lt0,-1/2,sqrt3/2gt`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos
  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis respectively, find its direction cosines.

If a line makes angle 90^o, 60^o, 30^o with the positive direction of x, y and z-axis respectively, find its direction cosines.

If a line makes angles 90^(@),60^(@) and 30^(@) with the positive direction of x,y and z-axis reapectively, then direction cosines are

If a line makes an angles of 30^@ , 60^@ , 90^@ with the positive direction of x,y,z axis respectively, then find its direction cosines.

If a line makes angles 90^@ , 135^@ and 45^@ with positive direction of X, Y and Z axis respectively, then its direction-cosines are

If a line makes angles of 90^@,60^@ and theta with the x, y and z axis respectively,where theta is acute, find its theta

If a line makes angles 30°,60° and 90° with x,y and z-axis respectively, find its direction cosines.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The reflection of the point (alpha,beta,gamma) in the xy-plane is:

    Text Solution

    |

  2. Distance between the point (0,1,7) and the plane 3x+4y+1=0 is:

    Text Solution

    |

  3. If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y an...

    Text Solution

    |

  4. If a line passes through two points (-2,4,-5) and (1,2,3), then its di...

    Text Solution

    |

  5. The direction cosines of the line whose direction ratios are 6,-2,3 :

    Text Solution

    |

  6. The direction cosines of the line joining the points (-2,1,-8) and (4,...

    Text Solution

    |

  7. The equation of line passing through the point: (2,-1,4) and in the di...

    Text Solution

    |

  8. Find the cartesian equation of the line which passes through the point...

    Text Solution

    |

  9. Find the angle between the following pair of lines : vecr=hati+hatj-ha...

    Text Solution

    |

  10. The direction ratios of a line normal to the plane x+2y-3z+4=0 are

    Text Solution

    |

  11. Find the equation of the plane with interceots 2, 3 and 4 on the x, y ...

    Text Solution

    |

  12. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

    Text Solution

    |

  13. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

    Text Solution

    |

  14. The point which lies in the plane given by the equations 2x+y-3z=10 is...

    Text Solution

    |

  15. The angle between two planes : 3x-6y+2z=7 and 2x+2y-2z=5 is :

    Text Solution

    |

  16. Direction cosines of the normal to the plane: 2x-3y+4z-6=0 are :

    Text Solution

    |

  17. If a vector makes angles alpha, beta, gamma with x, y and z axes respe...

    Text Solution

    |

  18. If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y an...

    Text Solution

    |

  19. The direction cosines of the line joining the points (-2, 4, -5) and (...

    Text Solution

    |

  20. Distance between plane defined by 3x + 4y + 5 = 0 and the point (5, 0,...

    Text Solution

    |