Home
Class 12
MATHS
The pair of lines whose direction cos...

The pair of lines whose direction cosines are given by the equations `3l+m+5n=0a n d6m n-2n l+5l m=0` are a. parallel b. perpendicular c. inclined at `cos^(-1)(1/6)` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

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

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 angle between the lines whose direction cosines are given by the equatios l^2+m^2-n^2=0, m+n+l=0 is

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

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 cosines are connected by the relations l+m+n=0a n d2//m+2n l-m n=0.

Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0a n d2lm+2n l-m n=0.

Find the angle between the line whose direction cosines are given by l+m+n=0a n dl^2+m^2-n^2-0.

Find the angle between the lines whose direction cosine are given by the equation: 2"l"+2"m"-"n"=0, and "m n"+"ln"+"lm"=0

Find the direction cosines of the lines, connected by the relations: l+m+n=0 and 2l m+2ln-m n=0.

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The direction cosines of a line satisfy the relations lamda(l+m)=nandm...

    Text Solution

    |

  2. The intercepts made on the axes by the plane which bisects the line jo...

    Text Solution

    |

  3. The pair of lines whose direction cosines are given by the equation...

    Text Solution

    |

  4. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

    Text Solution

    |

  5. A line with positive direction cosines passes through the point P(2, –...

    Text Solution

    |

  6. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  7. The equation of the plane passing through lines (x-4)/1=(y-3)/1=(z-...

    Text Solution

    |

  8. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

    Text Solution

    |

  9. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  10. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

    Text Solution

    |

  11. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

    Text Solution

    |

  12. Find the following are equations for the plane passing through the p...

    Text Solution

    |

  13. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

    Text Solution

    |

  14. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  15. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

    Text Solution

    |

  16. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

    Text Solution

    |

  17. The equation of a plane which passes through the point of intersection...

    Text Solution

    |

  18. If the foot of the perpendicular from the origin to plane is P(a ,b ...

    Text Solution

    |

  19. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

    Text Solution

    |

  20. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

    Text Solution

    |