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

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

A

`cos^(-1)(2sqrt(3))`

B

`cos^(-1)sqrt(3)`

C

`(phi)/(3)`

D

`(phi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

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

The angle between the lines whose does are given by the equation l^(2)+m^(2)-n^(2)=0,l+m+n=0 is

The angle between the lines whose direction cosines are given by 3l+4m+5n=0 , l^(2)+m^(2)-n^(2)=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

Show that the angle between the straight lines whose direction cosines are given by the equation l+m+n=0 and amn+bnl+clm=0 is pi/3 if 1/a+1/b+1/c=0

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Through a point P(h,k,l) a plane is drawn at righat angle to OP to mee...

    Text Solution

    |

  2. The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...

    Text Solution

    |

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

    Text Solution

    |

  4. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

    Text Solution

    |

  5. The cartesian equations of the plane perpendicular to the line (x-1)/(...

    Text Solution

    |

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

    Text Solution

    |

  7. A plane makes interceptsOA, OB and OC whose measurements are a, b and ...

    Text Solution

    |

  8. The radius of the circle in which the sphere x^2+y^2+z^2+2x-2y-4z-19=0...

    Text Solution

    |

  9. Let veca=hati+ hatj and vecb = 2hati-hatk . The point of intersection ...

    Text Solution

    |

  10. The co-ordinate of the point P on the line r=(hat(i)+hat(j)+hat(k))+la...

    Text Solution

    |

  11. The 3-dimensional vectors v1, v2, v3 satisfying v1cdotv1=4, v1cdotv2=-...

    Text Solution

    |

  12. The points hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) are equi...

    Text Solution

    |

  13. A, B, C and D are four points in space. Using vector methods, prove th...

    Text Solution

    |

  14. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

    Text Solution

    |

  15. The position vectors of points of intersection of three planes rcdotn1...

    Text Solution

    |

  16. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  17. In a dimensional coodinate a system P, Q and R are image of a point A(...

    Text Solution

    |

  18. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  19. The locus of point which moves in such a way that its distance from th...

    Text Solution

    |

  20. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |