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

Find the angle between the lines whose direction cosines have the relations `l+m+n=0 and 2l^(2)+2m^(2)-n^(2)=0`.

Text Solution

Verified by Experts

The correct Answer is:
`theta = (pi)/(3)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|42 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 connected by the relations l+m+n=0a n d2lm+2n l-m n=0.

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 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 line whose direction cosines are given by l+m+n=0a n dl^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 line whose direction cosines are given by l+m+n=0a n d2l^2+2m^2-n^2-0.

Find the angle between the line whose direction cosines are given by l+m+n=0a n d2l^2+2m^2-n^2-0.

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 cosine are given by the equation: "l"+2"m"+3"n"=0" and "3"l m"-4"ln"+"m n"=0

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
  1. Find the angle between the lines whose direction cosines have the rela...

    Text Solution

    |

  2. Let P be the image of the point (3, 1, 7) with respect to the plane x...

    Text Solution

    |

  3. The equation of the plane passing through the point (1,1,1) and perpen...

    Text Solution

    |

  4. A line with positive direction cosines passes through the point P(2, -...

    Text Solution

    |

  5. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  6. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  9. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

    Text Solution

    |

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

    Text Solution

    |

  11. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

  12. The equation of a plane passing through the line of intersection of th...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

    Text Solution

    |

  15. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  16. Consider three planes P(1):x-y+z=1, P(2):x+y-z=-1 and P(3):x-3y+3z=2...

    Text Solution

    |

  17. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  18. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

    Text Solution

    |

  19. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  20. A line l passing through the origin is perpendicular to the lines l(...

    Text Solution

    |

  21. In R(3) , consider the planes P(1):y=0and P(2) : x+z=1. Let P(3) ...

    Text Solution

    |