Home
Class 12
MATHS
The projections of a line segment on the...

The projections of a line segment on the coordinate axes are 12,4,3 respectively. The length and direction cosines of the line segment are

A

`13,lt12//13, 4//13, 3//13gt`

B

`19,lt12//19,4//19,3//19gt`

C

`11,lt12//11,14//11,3//11gt`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (2)|12 Videos
  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (3)|50 Videos
  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PASSAGE 4(THE SPHERE)( ANSWER THE FOLLOWING QURSTION BASED UPON ABOVE PASSAGE: )|3 Videos
  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Self Assessment Test |35 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

Similar Questions

Explore conceptually related problems

The projections of a directed line segment on the coordinate axes are 12,4,3 respectively. What are the direction cosines of the line segment

The projection of a directed line segment on the coordinate axes are 12,4,3. Find its length and direction cosines.

The projections of the segment PQ on the coordinate axes are -9,12,-8 respectively. The direction cosines of the line PQ are (A) -9/sqrt(17),12/sqrt(17),-8/sqrt(17) (B) -9/288,12/289,-8/289 (C) -9/17,12/17,-8/17 (D) none of these

The projections of a directed line segment on the coordinate axes are 12,4,3 respectively. What is the length of line segment

The projections of a directed line segment on the co-ordinate axes are 12,4,3. Then direction cosines of the line are

The projections of a directed line segment on the coordinate axes are 12,4,3. The direction cosines of the line are

Length of a line segment

ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (1)
  1. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

    Text Solution

    |

  2. If P is a point in space such that OP is inclined to OX at 45^(@) and ...

    Text Solution

    |

  3. The projections of a line segment on the coordinate axes are 12,4,3 re...

    Text Solution

    |

  4. The direction cosines of the line joining the points (4,3,-5) and (-2,...

    Text Solution

    |

  5. If (a,b,c) and (a^('),b^('),c^(') ) are the direction ratios of two pe...

    Text Solution

    |

  6. If A(6,3,2), B(5,1,4), C(3,-4,7), D(0,2,5) be from points, the project...

    Text Solution

    |

  7. The angle between the lines whose direction ratios are 1,1,2,sqrt3-1,-...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the angle between the lines whose direction cosines are connec...

    Text Solution

    |

  10. Three lines with direction cosines (1,1,2),(sqrt(3)-1,-sqrt(3)-1,4), (...

    Text Solution

    |

  11. The co-ordinates of a point P are (3, 12, 4) with respect to origin O,...

    Text Solution

    |

  12. The vertices of a triangle ABC are A(-1,2,-3),B(5,0,-6),C(0,4,-1). The...

    Text Solution

    |

  13. The vertices of a triangles ABC are A(-1,2,-3),B(5,0,-6),C(0,4,-1).The...

    Text Solution

    |

  14. The cosine of the angle between any two diagonals of a cube is

    Text Solution

    |

  15. The direction rations of the diagonals of a cube which joins the origi...

    Text Solution

    |

  16. In three dimensional geometry ax+by+c=0 represents (A) a plane perpend...

    Text Solution

    |

  17. Prove that the straight lines whose direction cosines are given by the...

    Text Solution

    |

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

    Text Solution

    |

  19. The plane 2x+y+2z=9 intersects the coordinate axes at A,B,C.The orthoc...

    Text Solution

    |

  20. If the line x=y=z intersects the line xsin A+y sin B + z sin C=2d^(2...

    Text Solution

    |