Home
Class 12
MATHS
The angle between the lines whose direct...

The angle between the lines whose direction cosines satisfy the equations `l+m+n=0 and l^(2)=m^(2)+n^(2)` is

A

`pi/3`

B

`pi/4`

C

`pi/6`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
A
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 have the relations l+m+n=0 and 2l^(2)+2m^(2)-n^(2)=0 .

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

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 :

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 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 d2//m+2n l-m n=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

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: 2"l"+2"m"-"n"=0, and "m n"+"ln"+"lm"=0

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. Find the shortest distance between the z-axis and the line, x+y+2z-3=0...

    Text Solution

    |

  2. Find the equation of a plane which passes through the point (3, 2, 0...

    Text Solution

    |

  3. The angle between the lines whose direction cosines satisfy the equati...

    Text Solution

    |

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

    Text Solution

    |

  5. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  6. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  7. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

  8. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  9. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  10. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

    Text Solution

    |

  11. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

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

    Text Solution

    |

  13. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |

  14. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

    Text Solution

    |

  15. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  16. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

    Text Solution

    |

  17. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

    Text Solution

    |

  18. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

    Text Solution

    |

  19. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  20. If a line makes an angle of pi/4 with the positive directions of each ...

    Text Solution

    |