Home
Class 12
MATHS
If a variable line in two adjacent posit...

If a variable line in two adjacent position has direction cosines `l,m,n` and `l+delta l, m+delta m, n+delta n` and `delta theta` is the angel between two positions, then `(delta l)^(2)+(delta m)^(2)+(delta n)^(2)=`

A

`2(delta theta)^(2)`

B

`(delta theta)^(2)`

C

`3(delta theta)^(2)`

D

`4(delta theta)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

If the direction cosines of a variable line in two adjacent points be l,M,n and l+delta l,m+delta m+n+delta n the small angle delta theta as between the two positions is given by

The direction cosines l, m and n of two lines are connected by the relations l+m+n=0 and lm=0 , then the angle between the lines is

If l,m,n are direction cosines of the line then -l,-m,-n can be

The direction cosines of two lines are connected by relation l+m+n=0 and 4l is the harmonic mean between m and n. Then,

The direction cosines of the lines bisecting the angle between the line whose direction cosines are l_1, m_1, n_1 and l_2, m_2, n_2 and the angle between these lines is theta , are

Two lines with direction cosines l_(1),m_(1),n_(1) and l_(2), m_(2), n_(2) are at right angle of

NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If the line vec(OR) makes angles theta(1),theta(2),theta(3) with the ...

    Text Solution

    |

  2. If the line passing through origin makes angles theta(1), theta(2), th...

    Text Solution

    |

  3. If a variable line in two adjacent position has direction cosines l,m,...

    Text Solution

    |

  4. A line makes angles alpha,beta,gammaand deltawith the diagonals of a...

    Text Solution

    |

  5. Find the angle between any two diagonals of a cube.

    Text Solution

    |

  6. A line makes an angle alpha, beta, gamma, delta with the four diagonal...

    Text Solution

    |

  7. If the edges of a rectangular parallelepiped are a,b, c, prove that th...

    Text Solution

    |

  8. If cos alpha=(sqrt(3))/(2), cos gamma=(-1)/(2), then the direction ang...

    Text Solution

    |

  9. If a line makes angles of measure 45^(@) and 60^(@) with the positive ...

    Text Solution

    |

  10. A line makes angles of measures (pi)/(6) and (pi)/(3) with X-and Z-axe...

    Text Solution

    |

  11. If a line is inclined at 60^(@) and 30^(@) with the X-and Y-axes respe...

    Text Solution

    |

  12. If a line makes angles of measure 60^(@) and 45^(@) with OX and OZ, th...

    Text Solution

    |

  13. If a line which makes angle 60^(@) with Y and Z axes, then the angle w...

    Text Solution

    |

  14. A line makes angles alpha, beta, gamma with X, Y, Z axes respectively....

    Text Solution

    |

  15. A line makes angles alpha, beta, gamma with X, Y, Z axes respectively....

    Text Solution

    |

  16. A line makes angles alpha,betaa n dgamma with the coordinate axes. If ...

    Text Solution

    |

  17. If direction angles of a line are alpha, beta, gamma such that alpha+b...

    Text Solution

    |

  18. A line lies in XZ-plane and makes an angle 60^(@) with Z-axis, find i...

    Text Solution

    |

  19. A line lies in YZ- plane and makes angle of 30^(@) with Y-axis, then ...

    Text Solution

    |

  20. If a straight line in space is equally inclined to the co-rodinate axe...

    Text Solution

    |