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/4`

B

`pi/6`

C

`pi/2`

D

`pi/3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos
  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 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

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The equation of the plane passing through the line of intersection of ...

    Text Solution

    |

  2. The point P is the intersection of the straight line joining the point...

    Text Solution

    |

  3. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The distance of the point (1,0,2) from the poitn of intersection of th...

    Text Solution

    |

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

    Text Solution

    |

  9. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

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

    Text Solution

    |

  11. If a line has direction ratios <2,-1,-2>, then what are its direction ...

    Text Solution

    |

  12. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

    Text Solution

    |

  13. Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in t...

    Text Solution

    |

  14. Find the area of the triangle whose vertices are : A(1,2,3), B(2,-1,4)...

    Text Solution

    |

  15. Find the equations of the straight line passing through the point (2,...

    Text Solution

    |

  16. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

    Text Solution

    |

  17. Find the equation of the plane passing through the point(-1, 3, 2) and...

    Text Solution

    |

  18. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

    Text Solution

    |

  19. A line makes angles alpha, beta, gamma, delta with the diagonals of a ...

    Text Solution

    |

  20. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

    Text Solution

    |