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

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 COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 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: l-5m+3n=0 7l^2+5m^2-3n^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 two lines whose direction cosines are given by the equation l+m+n=0,2l+2m-mn=0

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

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

Show that the straight lines whose direction cosines are given by the equations a l+b m+c n=0 and u l^2+z m^2=v n^2+w n^2=0 are parallel or perpendicular as (a^2)/u+(b^2)/v+(c^2)/w=0ora^2(v+w)+b^2(w+u)+c^2(u+v)=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 : 2l-m+2n=0, mn+nl+lm=0 .

the acute angle between two lines such that the direction cosines l, m, n of each of them satisfy the equations l + m + n = 0 and l^2 + m^2 - n^2 = 0 is

The direction cosines of the lines bisecting the angle between the line whose direction cosines are l_1, m_1, n_1 and l_2, m_2, n_2 and the angle between these lines is theta , are

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |