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)=`

Text Solution

Verified by Experts

The correct Answer is:
T
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE( FILL IN THE BLANKS)|16 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise MATCHING ENTRIES (MATCH THE ENTERIES OF COLUMN-II WITH THOSE OF COLUMN-II UNDER THE FOLLOWING CONDITIONS : )|4 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (4)|19 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

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

ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-MISCELLANEOUS EXERCISE(TRUE AND FALSE)
  1. Three concurrent lines with direction cosines (l(1),m(1),n(1)),(l(2),m...

    Text Solution

    |

  2. Show that the three lines drawn from the origin with direction cosines...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Show that the straight lines whose direction cosines are given by t...

    Text Solution

    |

  6. The equation of the plane through the points (1,1,1),(1,-1,1) and (-7,...

    Text Solution

    |

  7. The equation of the plane through the points (2,2,1) and (9,3,6) and p...

    Text Solution

    |

  8. The equation of the plane through the intersection of the planes x-2y+...

    Text Solution

    |

  9. A variable plane at a constant distance p from the origin meets the ax...

    Text Solution

    |

  10. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  11. A plane a constant distance p from the origin meets the coordinate axe...

    Text Solution

    |

  12. The equation 2x^(2) -6y^(2) - 12z^(2)+18 yz +2zx + xy =0 represents a ...

    Text Solution

    |

  13. The lines (x-1)/1=(y-2)/2=(z-3)/3 and x/2=(y+2)/2=(z-3)/-2 are paral...

    Text Solution

    |

  14. The lines (x-1)/2=(y-2)/2=(z-3)/0 and (x-2)/0=(y+3)/0=(z-4)/1 are pa...

    Text Solution

    |

  15. The plane x-2y+z-6=0 and the line x/1=y/2=z/3 are related as the line ...

    Text Solution

    |

  16. Find the length of the perpendicular from point (3,4,5) on the line (x...

    Text Solution

    |

  17. Find the angle between the lines in which the planes : 3x - 7y - 5z ...

    Text Solution

    |

  18. The lines 2x+3y-4z=0 ,3x-4y+z=7 5x-y-3z+12=0, x-7y+5z-6=0 are parell...

    Text Solution

    |

  19. The lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(z-5)/3 are cop...

    Text Solution

    |

  20. A sphere of constant radius k , passes through the origin and me...

    Text Solution

    |