Home
Class 12
MATHS
A line makes 90^@, 135^@, 45^@ with x, y...

A line makes `90^@`, `135^@`, `45^@` with x, y and z axes respectively than its direction cosines are

A

`lt0,0,0gt`

B

`lt0,(-1)/(sqrt(2)),(1)/(sqrt(2))gt`

C

`lt(1)/(sqrt(2)),(-1)/(sqrt(2)),0gt`

D

`lt(-1)/(sqrt(2)),0,(1)/(sqrt(2))gt`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION II) Short Answer Type Questions |8 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION III) Short Answer Type Questions |4 Videos
  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos
  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

Similar Questions

Explore conceptually related problems

If line makes angles 90^@,45^@,135^@ with X, Y and Z axes respectively then its direction ratios are =.

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

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

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

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

If a line makes angles 90^(@),60^(@),45^(@) with positive x,y and z axis, 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

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

    Text Solution

    |

  2. Find the length of perpendicular drawn from the point (3,4,5) on the l...

    Text Solution

    |

  3. Find the length of perpendicular from the point (5,8,1) on the line ...

    Text Solution

    |

  4. Find the length of perpendicular from the point (5,4,-1) on the line (...

    Text Solution

    |

  5. Find the shortest distance between the following lines vec(r)=hat(i)...

    Text Solution

    |

  6. Find the shortest distance between the following lines vec(r)=hat(i)...

    Text Solution

    |

  7. Find the shortest distance between the following lines vec(r)=hat(i)...

    Text Solution

    |

  8. Find the shortest distance between the following lines vec(r)=-hat(i...

    Text Solution

    |

  9. Find the shortest distance between the following lines vec(r)=hat(i)...

    Text Solution

    |

  10. Find the equation of the plane containing the line (x+3)/(2)=(y-2)/(-1...

    Text Solution

    |

  11. Find the equation of the plane through the point (1,1,1) and perpendic...

    Text Solution

    |

  12. Determine whether the lines vec(r)=3hat(i)-hat(j)+lamda(3hat(i)+hat(...

    Text Solution

    |

  13. Find the equation of the plane passing through the points (0,-1,1),(4,...

    Text Solution

    |

  14. Find the equation of the plane passing through the point (1,1,0),(1,2,...

    Text Solution

    |

  15. Find the angle between the following pairs of lines x/2=y/2=z/1 and (x...

    Text Solution

    |

  16. vec(r)=(1-t)hat(i)+(t-2)hat(j)-(3-2t)hat(k) and vec(r)=(1-t)hat(i)(t-...

    Text Solution

    |

  17. Find the angle between these two lines (x+2)/(1)=(y-1)/(-2)=(z-1)/(1) ...

    Text Solution

    |

  18. Find the vector equation of the plane which is at a distance of 7 unit...

    Text Solution

    |

  19. Find the equation of the plane through intersection of the planes : ...

    Text Solution

    |

  20. Find the equation of the plane passing through the points (1,2,-1),(...

    Text Solution

    |

  21. Find the equation of the plane passing through the points (1,1,0),(1...

    Text Solution

    |