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

if the projections of a line segment on the `x, y` and `z`-axes in `3`-dimensional space `2,3` and `6` respectively, then the length of the line segment is:

A

12

B

7

C

9

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

If the projection of a line segment of the x,y and z-axes in 3-dimensional space are 2,3, and 6 respectively, then the length of the line segmetn is (A) 13 (B) 9 (C) 6 (D) 7

Length of a line segment

If the projection of a line segment on x, y and z axes are respectively 3,4 and 5 , then the length of the line segment is

If the projection of a line segment on X,Y and Z-axes are 3,1 and sqrt(15) respectvely, then length of line segment is

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 line segment on the co-ordinate 3, 4, 5, then its length is

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

The projection of a line segment on the axis 2, 3, 6 respectively. Then find the length of line segment.

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

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. the acute angle between two lines such that the direction cosines l, m...

    Text Solution

    |

  2. If two lines L, and L, in space, are definedby L1={x=lambda y+(sqrtla...

    Text Solution

    |

  3. if the projections of a line segment on the x, y and z-axes in 3-dimen...

    Text Solution

    |

  4. A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If...

    Text Solution

    |

  5. the equation of a plane through the line of intersection the planes x+...

    Text Solution

    |

  6. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+...

    Text Solution

    |

  7. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |

  8. Equation of plane which passes through the intersection point of the l...

    Text Solution

    |

  9. A line in 3-dimensional space makes an angle theta(0ltthetalepi//2) wi...

    Text Solution

    |

  10. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  11. The plane containing the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and parall...

    Text Solution

    |

  12. A symmetrical form of the line of intersection of the planes x=ay+b an...

    Text Solution

    |

  13. If the distance between planes 4x-2y-4x + 1 = 0 and 4x-2y-4x + d =0 i...

    Text Solution

    |

  14. Equation of the line of the shortest distance between the lines x/1=y/...

    Text Solution

    |

  15. If the angle between the lines 2(x+1)=y=z+4 and the plane 2x-y+sqrt(la...

    Text Solution

    |

  16. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  17. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

    Text Solution

    |

  18. Find the shortest distance between the z-axis and the line, x+y+2z-...

    Text Solution

    |

  19. A plane containing the point (3, 2, 0) and the line (x-1)/(1)=(y-2)/(5...

    Text Solution

    |

  20. Ifthe points (1,1, lambda) and (-3,0,1) are equidistant from the plan...

    Text Solution

    |