Home
Class 12
MATHS
Show that the lines whose direction cosi...

Show that the lines whose direction cosines are given by `l+m+n=0`,
`2mn+3nl-5lm=0` are perpendicular to each other .

Promotional Banner

Topper's Solved these Questions

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos

Similar Questions

Explore conceptually related problems

The straight lines whose direction cosines are given by al+bm+cn=0 ,fmn+gnl+hlm=0 are perpendicular if

Prove that the lines whose directioncosines are given by the equtions l+m+n=0 and 3lm-5mn+2nl=0 are mutually perpendicular.

The angle between the lines whose directionn cosines are given by 2l-m+2n=0, lm+mn+nl=0 is

Prove that the lines whose direction cosines are given by the equations l+m+n=0 and 3lm-5mn+2nl=0 are mutually perpendicular.

The pair of lines whose direction cosines are given by the equations 3l+m+5n=0 and 6mn-2nl+5lm=0 are a.parallel b.perpendicular c.inclined at cos^(-1)((1)/(6)) d.none of these

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

Find the angle between the lines whose direction-cosines are give /+2m+3n=0 and 3/m-4/n+mn=0'

Find the direction cosine of given system of relation 1+m+n=0,2lm+2nl-mn=0

MOTION-THREE DIMENSIONAL GEOMETRY (3 -D)-SOLVED EXAMPLE
  1. ABCD is a square of side length ‘a’. Its side AB slides between x and ...

    Text Solution

    |

  2. Find the direction cosines l + m + n of the two lines which are connec...

    Text Solution

    |

  3. Show that the lines whose direction cosines are given by l+m+n=0, 2mn...

    Text Solution

    |

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

    Text Solution

    |

  5. A plane is passing through a point P(a, –2a, 2a), a ne 0, at right ang...

    Text Solution

    |

  6. Reduce the equation of the plane x + 2y – 2z – 9 = 0 to the normal for...

    Text Solution

    |

  7. Find the equation of the plane passing through the points (0,-1,-1), (...

    Text Solution

    |

  8. Find the equation of the plane through (1, 0, -2) and perpendicular to...

    Text Solution

    |

  9. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  10. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  11. Show that the origin lies in the acute angles between the planes x + 2...

    Text Solution

    |

  12. The cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Fi...

    Text Solution

    |

  13. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

    Text Solution

    |

  14. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  15. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

    Text Solution

    |

  16. Show that the disease of the point of intersection of the line (x-2)/3...

    Text Solution

    |

  17. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  18. The equation of straight line 3x + 2y - 2-4 = 0 ; 4x+y-2z + 3 = 0 in ...

    Text Solution

    |

  19. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  20. Find the equation of a plane passing through the line (x-1)/1=(y-2)/1=...

    Text Solution

    |