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

The angle between the lines whose direction cosines are given by l + m + n = 0 and `l^2 = m^2 + n^2` is .....

A

`pi/6`

B

`pi/2`

C

`pi/3`

D

`pi/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the lines whose direction cosines 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 d2l^2+2m^2-n^2-0.

The angle between the lines whose direction cosines are l, m, n and m-n, n-l, l-m is......

Show that the straight lines whose direction cosines are given by 2l + 2m - n = 0 and mn + nl + Im = 0 are at right angles.

Show that the straight lines whose direction cosines are given by the equations a l+b m+c n=0, u(l)^2+v(m)^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 lines whose joint equation is 2x^2-3xy+y^2=0

Find the angle between the lines whose direction cosines are (-(sqrt3)/(4), (1)/(4), -(sqrt3)/(2)) and (-(sqrt3)/(4), (1)/(4), (sqrt3)/(2)) .

The direction cosines of two lines are given by the following equations. 3l+ m + 5n = 0, 6mn - 2nl + 5lm = 0. Find the angle between them.

If a variable line in two adjacent positions has direction cosines l, m, n and I + delta I, m + delta m, n + delta n, then show that the small angle delta theta between the two positions is given by delta theta^2=deltal^2+deltam^2+deltan^2 .

Let ** be the binary operation on N given by a**b = L.C.M. of a and b. Find 5"*" 7,20"*" 16

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. If the line bar r = (5,5,2) + k (3,6,9) k in R and bar = (0,3,-1) + ...

    Text Solution

    |

  2. The angle between the lines bar = (-3,5,-1) + k(1,2,1), k in R and bar...

    Text Solution

    |

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

    Text Solution

    |

  4. The cartesian equation of the line passing through (2,2,-3) and (1,3,5...

    Text Solution

    |

  5. The equation of the line passes through (2,-3,5) and makes equal with ...

    Text Solution

    |

  6. The angle between the lines whose direction cosines are l, m, n and m-...

    Text Solution

    |

  7. The vector equation of the line (3-x)/(3) = (2y - 3)/(5) = z/2 is .......

    Text Solution

    |

  8. The lines bar r = (-1,2,5) + k (-1,2,5), k in R and bar r = (-3,1,5) ...

    Text Solution

    |

  9. The vector equation of the line joining the pionts hat(i) - 2hat (j)+ ...

    Text Solution

    |

  10. If bar = hat i + hat j and bar b = 2 hat i - hat k then the intersect...

    Text Solution

    |

  11. The co-ordinats of a point on the line passing through the pionts (1,-...

    Text Solution

    |

  12. The equation of the line passing through hat i + 3 hat j + 2 hat k a...

    Text Solution

    |

  13. The shortest distance of the lines bar r1 = 4 hat i -3 hat j - hat k +...

    Text Solution

    |

  14. The direction cosines of the line drawn from P(-5,3,1) and Q(1,5,-2) i...

    Text Solution

    |

  15. The angle between the two diagonals of a cube is .....

    Text Solution

    |

  16. The angle between the two diagonals of a cube is .....

    Text Solution

    |

  17. A line makes the angle alpha, beta , gamma and delta with the diagonal...

    Text Solution

    |

  18. The edge of a cube is of length of a. The shortest distance between th...

    Text Solution

    |

  19. The projection of a line on the axes are 9,12, and 8. The length of th...

    Text Solution

    |

  20. The straight lines whose direciton cosines are given by al + bm + cn =...

    Text Solution

    |