Home
Class 12
MATHS
Find the angle between the lines whose d...

Find the angle between the lines whose direction cosines are given by the equations. `3l + m + 5n = 0,6mn - 2nl + 5lm = 0`.

Text Solution

Verified by Experts

The correct Answer is:
`((1)/(6))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 1|8 Videos

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC -2- PRACTICE QUESTIONS |38 Videos

  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos

Similar Questions

Explore conceptually related problems

Prove that the acute angle between the lines whose direction cosines are given by the relation l+ m+n=0 and l^2+m^2-n^2=0 and pi/3

Find the angle between the lines whose dcs. L, m, n are connected by the relation, 3l+m+5n=0 and 6mn-2nl+5lm=0

Find the angles between the pair of lines whose slopes are , sqrt3 ,-1 .

Find the angle between the lines whose direction ratios are proportional to a,b,c and b-c,c-a,a-b,.

Prove that the two lines whose direction cosines are connected by the equations l+2m+3n=0, 3lm-4ln+mn=0 are perpendicular to each other.

ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -CHAPTER TEST
  1. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |

  2. If a line makes angles 90^(@), 135^(@), 45^(@) with the X, Y and Z-axe...

    Text Solution

    |

  3. Find the direction cosines of the line segment joining the points A(7,...

    Text Solution

    |

  4. Show that the points A(2, 3, -4), B(1, -2, 3) and C(3, 8, -11) are col...

    Text Solution

    |

  5. If the x-coordinate of a point P on the join of Q(2,2,1) and R(3,8,11)...

    Text Solution

    |

  6. Find the equation of a line parallel to X - axis and passing through ...

    Text Solution

    |

  7. Find the equation of a plane that cuts the coordinate axes at (a, 0, 0...

    Text Solution

    |

  8. Find the distance of the point whose position vector is (2hat(i) + hat...

    Text Solution

    |

  9. Find the ratio in which the line segment through (2,4,5),(3,5,-4) is d...

    Text Solution

    |

  10. State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...

    Text Solution

    |

  11. Find the equation of the plane .Passing through the point (2,3-1) and ...

    Text Solution

    |

  12. State which of the following statements are true (T) or false(F) The...

    Text Solution

    |

  13. Find the coordinates of the point, where the line passing through (5, ...

    Text Solution

    |

  14. A plane meets the coordinate axes at A, B and C respectivély. If the c...

    Text Solution

    |

  15. Find the perpendicular distance of point (1,0,0) in from the lines (x-...

    Text Solution

    |

  16. Show that the shortest distance between the lines x+a=2y=-12z and x=y+...

    Text Solution

    |

  17. Find the equation of two planes through the origin, parallel to the li...

    Text Solution

    |

  18. If a line makes angles alpha, beta  and gamma  with the positive direc...

    Text Solution

    |

  19. Find the angle between the lines whose dcs. L, m, n are connected by t...

    Text Solution

    |

  20. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

    Text Solution

    |

  21. Find the equation of the plane through the points (2, 2,1)and (9, 3, 6...

    Text Solution

    |