Home
Class 12
MATHS
An angle between the lines whose directi...

An angle between the lines whose direction cosines are given by the equations, `1+ 3m + 5n =0 and 5 lm - 2m n + 6 nl =0,` is :

Text Solution

Verified by Experts

The correct Answer is:
cos^-1(1/6)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

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

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

The angle between the lines whose direction cosines are given by the equatios l^2+m^2-n^2=0, m+n+l=0 is

Find the angle between the lines whose direction cosine are given by the equation: 2"l"+2"m"-"n"=0, and "m n"+"ln"+"lm"=0

Find the angle between the lines whose direction cosine are given by the equation: "l"-"m"+"n"=0" and l"^2-"m"^2-"n"^2=0

The angle between the lines whose directionn cosines are given by 2l-m+2n=0, lm+mn+nl=0 is

Find the angle between the lines whose direction cosine are given by the equation: "l"+"m"+"n"=0" and "l^2"+"m^2"-"n^2"=0

Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0a n d2lm+2n l-m n=0.

Find the angle between the lines whose direction cosine are given by the equation: "l"+2"m"+3"n"=0" and "3"l m"-4"ln"+"m n"=0

Find the angle between the lines whose direction-cosines are give l + 2m + 3n = 0 and 3lm - 4ln + mn = 0

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. An agle between the plane, x + y+ z =5 andthe line of intersection of ...

    Text Solution

    |

  2. A plane bisects the line segment joining the points (1,2,3) and (-3,4,...

    Text Solution

    |

  3. An angle between the lines whose direction cosines are given by the eq...

    Text Solution

    |

  4. If the angle between the lines, x/2=y/2=z/1 and (5-x)/(-2) = (7y-14)/(...

    Text Solution

    |

  5. The sum of the intercepts on the coordinate axes of the plane passing ...

    Text Solution

    |

  6. The distance of the point (1, 3, -7) from the plane passing through th...

    Text Solution

    |

  7. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |

  8. Find the line of intersection of the planes vecr.(3hati-hatj+hatk)=1 a...

    Text Solution

    |

  9. The coordinates of the foot of the perpendicular from the point (1,-2...

    Text Solution

    |

  10. If a variable plane, at a distance of 3 units from the origin, interse...

    Text Solution

    |

  11. If x =a, y=b, z=c is a solution of the system of linear equations x + ...

    Text Solution

    |

  12. If the line, (x-3)/(1) =(y+2)/(-1) = (z+ lamda)/(-2) lies in the plane...

    Text Solution

    |

  13. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  14. If the line, (x-3)/(2)=(y+2)/(-1)=(z+4)/(3) lies in the plane, lx+my-n...

    Text Solution

    |

  15. The shortest distance between the lines lines x/2 = y/2 = z/1 and (x+2...

    Text Solution

    |

  16. The distance of the point (1,-2,4) from the plane passing through the ...

    Text Solution

    |

  17. ABC is triangle and A = (2, 3, 5), B = (-1, 3, 2) and C=(lamda, 5, mu)...

    Text Solution

    |

  18. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

  19. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

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

    Text Solution

    |