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

The pair of lines whose direction cosines are given by the equations `3l+m+5n=0and6mn-2nl+5lm=0` are

A

`cos^(-1)(1/3)`

B

`cos^(-1)(1/6)`

C

`cos^(-1)(2/3)`

D

`cos^(-1)(1/4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

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

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

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.

Prove that the straight lines whose direction cosines are given by the relations a l+b m+c n=0a n dfm n+gn l+hl m=0 are perpendicular, if f/a+g/b+h/c=0 and parallel, if a^2f^2+b^2g^2+c^2h^2-2a bfg-2b cgh-2a c hf=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 :

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.

Show that the straight lines whose direction cosines are given by the equations a l+b m+c n=0 and u l^2+vm^2+wn^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 direction cosine are given by the equation: 2"l"+2"m"-"n"=0, and "m n"+"ln"+"lm"=0

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

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |

  2. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  3. A unit vector normal to the plane through the points hati, 2hatj and...

    Text Solution

    |

  4. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

    Text Solution

    |

  5. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

    Text Solution

    |

  6. The angle between the line whose d.c.'s are connected by the relations...

    Text Solution

    |

  7. Find the coordinates of the foot of perpendicular drawn from th poi...

    Text Solution

    |

  8. एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण ...

    Text Solution

    |

  9. The number of unit vectors perpendicular to the plane of vectors veca=...

    Text Solution

    |

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

    Text Solution

    |

  11. If direction cosines of a line are (1/a, 1/a, 1/a) then

    Text Solution

    |

  12. The planes: 2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6are(A) Perpendic...

    Text Solution

    |

  13. Distance between the two planes 2x+3y +4z =4 and 4x+6y +8z=12 is

    Text Solution

    |

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

    Text Solution

    |

  15. The locus represented by xy + yz = 0 is

    Text Solution

    |

  16. Find the reflection of the point (alpha, beta, gamma) in the XY-plane,...

    Text Solution

    |

  17. The sine of the angle between the line (x-2)/(3) = (y-3)/(4) = (z-4)/(...

    Text Solution

    |

  18. If the line (x-1)/2=(y+3)/1=(z-5)/(-1) is parallel to the plane px +...

    Text Solution

    |

  19. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

    Text Solution

    |

  20. Find the shortest distance between the lines (x)/2=(y-2)/3=(z-4)/3 a...

    Text Solution

    |