Home
Class 11
MATHS
Let A (4, 7, 8), B (2, 3, 4) and C (2, 5...

Let A (4, 7, 8), B (2, 3, 4) and C (2, 5, 7) be the position vectors of the vertices of a triangle ABC. The length of the internal bisector of the angle at A is

A

`(3sqrt34)/2`

B

`2sqrt34)/3`

C

`(sqrt34)/2`

D

`(sqrt34)/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|21 Videos

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|1 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

Similar Questions

Explore conceptually related problems

Let A(4, 7, 8), B(2, 3, 4) and C(2,5,7) be the vertices of DeltaABC . The length of the median AD is

If A=(1, 1, 1), B=(1, 2, 3), C=(2, -1, 1) be the vertices of a DeltaABC , then the length of the internal bisector of the angle 'A' is

A (1,3) and C (-2/5,-2/5) are the vertices of a triangle ABC and the equation of the internal angle bisector of angleABC is x+y =2 Equation of BC is

If bar(a), bar(b), bar(c) are the position vectors of the vertices A, B, C of the triangle ABC, then the equation of the median from A to BC is

If A(1, -1, -3), B(2, 1, -2), C(-5, 2, -6) are the vertices of a DeltaABC , then the length of internal bisector of angle A is

If A = (3, 2, 5), B = (3, 3, 5) and C = (3, 4, 8) are the vertices of a triangle ABC, then its centroid is

A (1,3) and C (-2/5,-2/5) are the vertices of a triangle ABC and the equation of the angle bisector of angleABC is x+y =2 Equation of side AB is

A (1,3) and C (-2/5,-2/5) are the vertices of a triangle ABC and the equation of the internal angular bisector of angleABC is x+y -2=0 Coordinates of vertex B

AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. A (3,2,0), B(5,3,2), C(-9,6,-3) are three points forming a triangle th...

    Text Solution

    |

  2. A (4,3,5), B(0,-2,2) and C( 3,2,1) are three points. The coordinates o...

    Text Solution

    |

  3. Let A (4, 7, 8), B (2, 3, 4) and C (2, 5, 7) be the position vectors o...

    Text Solution

    |

  4. The locus of equation x^(2)+y^(2)+z^(2)+1=0 is

    Text Solution

    |

  5. The locus of first degree equation in x,y,z is

    Text Solution

    |

  6. The Locus of a point P(x,y,z) which moves in such away that z=C (const...

    Text Solution

    |

  7. The locus of a point which is at a distance of 5 unit from (2,1,-3) is

    Text Solution

    |

  8. Equation to the locus of points which are equal distance from the poin...

    Text Solution

    |

  9. The locus of the point which is equidistant from xy plane and yz - pla...

    Text Solution

    |

  10. The locus of the point which is at a distance of '3' unit from zx-plan...

    Text Solution

    |

  11. The locus of a point which is a distance of '5' unit from xy-plane is

    Text Solution

    |

  12. P is a variable point which moves such that 3PA =2PB. If A(-2,2,3) and...

    Text Solution

    |

  13. Locus of a point 'P' such that PA+PB =4, where A=(2,3,4), B=(-2,3,4) i...

    Text Solution

    |

  14. Locus of x/a+y/b=1 and z = 0 is

    Text Solution

    |

  15. The locus of the point (r sec alpha cos beta, r sec alpha beta, r tan ...

    Text Solution

    |

  16. Locus of point for which the sum of squares of distance from the coord...

    Text Solution

    |

  17. The ends of hypotenuse of a right angled triangle are (2, 0, -3), (0,4...

    Text Solution

    |

  18. If P = (1,2,-3), Q(1,0,-1) and translate the axes by Q is origin, then...

    Text Solution

    |

  19. The point to which the axes should be translated to eliminate first de...

    Text Solution

    |

  20. Text Solution

    |