Home
Class 12
MATHS
If A (1,0,-1), B (-2,4,-2) and C(1,5,10)...

If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle and the bisector of the angle BAC, meets BC at D, then find the coordinates of the point D.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    SHARAM PUBLICATION|Exercise EXAMPLE|115 Videos

  • VECTORS

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

Two vertices of a triangle are (0,-4) and (6,0).If the medians meet at the point (2,0), find the coordinates of the third vertex.

If the points P(2,-1,1),Q(1,-3 c)and R(3,-4,-4) are the vertices of a right triangle PQR, then find c if any.

In a triangle one of the vertices is at (2,5) and the centroid of the triangle is at (-1,1). Find the coordinates of the midpoint of the side opposite to the given angular point.

If A, B, C are the points (1, 4, 2), (-2,1,2) and (2,-3,4) respectively then find the angles of the triangle ABC.

A plane meets the coordinate axes at A, B and C respectivély. If the centroid of the triangle ABC is (-1, 2, 5) then find the equation of the plane.

The given points A, B, C are the vertices of a triangle. Determine the vectors vec(AB),vec(BC) and vec(CA) and the lengths of these vectors in the following case. A(8,6,1), B(2,0,1), C(-4,0,-5)

The given points A, B, C are the vertices of a triangle. Determine the vectors vec(AB),vec(BC) and vec(CA) and the lengths of these vectors in the following case. A(4,5,5), B(3,3,3), C(1,2,5)

SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

    Text Solution

    |

  2. Find the image of the point (-2,0,3) with respect to the plane y = 3.

    Text Solution

    |

  3. If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle...

    Text Solution

    |

  4. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

    Text Solution

    |

  5. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

    Text Solution

    |

  6. Find the equation of the plane passing through the line x = y = z and ...

    Text Solution

    |

  7. Find the equation of the plane which passes through (1, 1, 2) and par...

    Text Solution

    |

  8. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

    Text Solution

    |

  9. Find the distance between the parallel planes 3x - 2y + 6z - 7 = 0 and...

    Text Solution

    |

  10. Find the number of points (x, y, z) in space other than the point (1,-...

    Text Solution

    |

  11. Write the equation of the plane passing through (3,-6,-9) and parallel...

    Text Solution

    |

  12. Find the equation of the plane passing through the points (-2, 3, 5), ...

    Text Solution

    |

  13. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |

  14. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

    Text Solution

    |

  15. Write the axis to which the plane by+cz+d=0 is parallal.

    Text Solution

    |

  16. Find the shortest distance between the lines (x-1)/(2) = (y-2)/(3) =...

    Text Solution

    |

  17. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

  18. Prove that the lines (x + 3)/(2) = (y + 5)/(3) = (z - 7)/(-3) and (x +...

    Text Solution

    |

  19. Prove that the four points (0, 4, 3), (-1, -5, -3), (-2, -2, 1) and (1...

    Text Solution

    |

  20. Find the distance from the line x/2 = y/3 = z/1 to the point (4, 5, 2)...

    Text Solution

    |