Home
Class 11
MATHS
If (6,-2,-3),(1,2,2) are d.r's of two li...

If (6,-2,-3),(1,2,2) are d.r's of two lines then the d.c's of line bisecting the angle between them are

A

`((25)/(sqrt(714)),(8)/(sqrt(714)),(5)/(sqrt(714)))`

B

`((13)/(sqrt(714)),(4)/(sqrt(714)),(5)/(sqrt(714)))`

C

`((-25)/(sqrt(714)),(8)/(sqrt(714)),(-5)/(sqrt(714)))`

D

`((25)/(sqrt(714)),(8)/(sqrt(714)),(5)/(sqrt(714)))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise EXERCISE - II|18 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

If (l_(1),m_(1),n_1),(l_(2),m_(2),n_(2)) are d.c.s of two intersecting lines, show that d.c.s of two lines bisecting the angles between them are proportional to l_(1)+l_(2),m_(1)+m_(2),n_(1)+n_(2).

If the d.c's of the two lines are (2)/(3),(2)/(3),(1)/(3),(5)/(13),(12)/(13),0 then the d.r.s of the line bisecting the angle between the lines are

If the d.r.'s of two lines are (1, -1, 0) and (1, -2, 1) then the angle between them is

If the d.r.'s of two lines are (1,0,0) and (0,1,0) then the angle between those two lines is,

If (2,-1,2) and (K,3,5) are the triads of direction ratios of two lines and the angle between them is 45^(@) , then the value of K is

If the d.r.'s of a line are (3, -4, 12) then d.c.'s of the line are

If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) are d.c's of two lines whose angle between them is 30^(@) , then d.c's of a line perpendicular to both these lines are k(m_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1)) , k =

AAKASH SERIES-DIRECTION COSINES & RATIOS-PRACTICE EXERCISE
  1. If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are d.c's of two lines then find ...

    Text Solution

    |

  2. If the d.c's of the two lines are (2)/(3),(2)/(3),(1)/(3),(5)/(13),(12...

    Text Solution

    |

  3. If (6,-2,-3),(1,2,2) are d.r's of two lines then the d.c's of line bis...

    Text Solution

    |

  4. If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are direction cosines of two line...

    Text Solution

    |

  5. If the d.c's (l,m,n) of two lines are related as l + m + n = 0, 2lm -...

    Text Solution

    |

  6. If the d.c's (l,m,n) of two lines are connected by the relations 3l+m+...

    Text Solution

    |

  7. If the direction rations of two lines are given by 3lm-4ln+mn = 0 and ...

    Text Solution

    |

  8. If the d.c's of two lines are such that l+3m+n = 0, 3l^(2) + 5m^(2) - ...

    Text Solution

    |

  9. If the d.c's (l,m,n) of two lines are connected by the relations 7l^(...

    Text Solution

    |

  10. The angle between two lines whose d.c's satisfy the equation n = l + m...

    Text Solution

    |

  11. Assertion (A): The points A(2,3,5) B(4,6,10), C(8,12,20) are collinear...

    Text Solution

    |

  12. The projection of a vector on the three coordinate axes are 6,-3,2 res...

    Text Solution

    |

  13. The projection of the join of the points (3,4,2), (5,1,8) on the line ...

    Text Solution

    |

  14. The projection of the join of the two points (1,4,5), (6,7,2) on the l...

    Text Solution

    |

  15. A (x(1),y(1),z(1)), B(x(2),y(2),z(2)) are two points. Then the lenghts...

    Text Solution

    |

  16. If A(1,2,3), B(6,7,7), C(9,9,0) are three points, then the foot of the...

    Text Solution

    |

  17. Assertion (A): A(x(1),y(1),z(1)), B(x(2),y(2),z(2)). The projection of...

    Text Solution

    |

  18. A line makes the same angle theta, with each of the x and z axis. If t...

    Text Solution

    |

  19. If a makes an angle of pi//4 with the positive direction of each of x-...

    Text Solution

    |

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

    Text Solution

    |