Home
Class 12
MATHS
Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, ...

Let `A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1)` are the vertices of `triangleABC`.
Q. The equation of internal angle bisector through A to side BC is

A

`r=hat(i)+2hat(j)+3hat(k)+mu(3hat(i)+2hat(j)+3hat(k))`

B

`r=hat(i)+2hat(j)+3hat(k)+mu(3hat(i)+4hat(j)+3hat(k))`

C

`r=hat(i)+2hat(j)+3hat(k)+mu(3hat(i)+3hat(j)+2hat(k))`

D

`r=hat(i)+2hat(j)+3hat(k)+mu(3hat(i)+3hat(j)+4hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 9 : Match Type Questions|7 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangleABC . Q. The area of (triangleABC) is equal to

Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangleABC . The equation of altitude through B to side AC is

Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- What do you observe ?

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. The equation of side BC 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. The coordinates of vertex B are

Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- Find the coordinates of the point P on AD such that AP : PD = 2:1

Let (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- The median from A meets BC at D. Find the coordinates of the point D.

The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices of a parallelogram ABCD. Find the vector equations of side AB and BC and also find the coordinates of point D .

Let (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by (1) {1,""3} (2) {0,""2} (3) {-1,""3} (4) {-3,-2}

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangl...

    Text Solution

    |

  2. Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangl...

    Text Solution

    |

  3. Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangl...

    Text Solution

    |

  4. Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangl...

    Text Solution

    |

  5. Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equat...

    Text Solution

    |

  6. Find the image of point (1, 2,-1) in the plane 2x +y-z=10.

    Text Solution

    |

  7. Consider a triangular pyramid ABCD the position vectors of whone agula...

    Text Solution

    |

  8. Consider a triangular pyramid ABCD the position vectors of whose angul...

    Text Solution

    |

  9. Consider a triangular pyramid ABCD the position vectors of whone agula...

    Text Solution

    |

  10. Consider a triangular pyramid ABCD the position vectors of whone agula...

    Text Solution

    |

  11. A line L1 passes through the point 3i and parallel to the vector − i +...

    Text Solution

    |

  12. A line L1 passing through a point with position vector p=i+2h+3k and ...

    Text Solution

    |

  13. A line L1 passing through a point with position vector p=i+2h+3k and ...

    Text Solution

    |

  14. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  15. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  16. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  17. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  18. If vec a=6hat(i)+7hat(j)+7hat(k), find the unit vector along with this...

    Text Solution

    |

  19. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

    Text Solution

    |

  20. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

    Text Solution

    |