Home
Class 11
MATHS
Show that the triangle ABC with vertices...

Show that the triangle ABC with vertices A(0, 4, 1), B(2, 3, -1) and C(4, 5, 0) is right angled.

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|4 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)|13 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|13 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

  • LIMITS AND DERIVATIVES

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for practice work|35 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).

If the origin is the centroid of a triangle ABC having vertices A(a, 1, 3), B(-2, b, -5) and C(4, 7, c), Find the values of a, b, c.

Find the area of the triangle with vertices A(3,-1,2),B(1,-1,-3) and C(4,-3,1) .

Find the lengths of the medians of the triangle with vertices A(0, 0, 6), B(0, 4, 0) and (6, 0, 0).

The incentre of triangle with vertices (1, sqrt(3)), (0,0) and (2, 0) is

Consider the triangle with vertices A(0, 0), B(5, 12) and C(16, 12) , find the centroid of triangle ABC

In the triangle ABC with vertices A(2,3), B(4,1) and C(1,2) , find the equation and length of altitude from the vertex A.

Find the circumcentre of Delta ABC with vertices A(5,1), B(-3,-7) and C(7,-1)

The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2), is equal to ........

KUMAR PRAKASHAN-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-SOLUTION OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
  1. Locate the following points : (i) (1, -1, 3) (ii) (-1, 2, 4) (ii...

    Text Solution

    |

  2. Name the octant in which each of the following points lies. (i) (1, ...

    Text Solution

    |

  3. Let A, B, C be the feet of perpendiculars from a point P on the X, Y, ...

    Text Solution

    |

  4. Let A, B, C be the feet of perpendiculars from a point P on the X, Y, ...

    Text Solution

    |

  5. How far apart are the points (2, 0, 0) and (-3, 0, 0) ?

    Text Solution

    |

  6. Find the distance from the origin to A(6, 6, 7).

    Text Solution

    |

  7. Show that if x^(2)+y^(2)=1, then the point (x,y,sqrt(1-x^(2)-y^(2))) i...

    Text Solution

    |

  8. Show that the point A(1, -1, 3), B(2, -4, 5) and C(5, -13, 11) are col...

    Text Solution

    |

  9. Three consecutive vertices of a parallelogram ABCD are A(6, -2, 4), B(...

    Text Solution

    |

  10. Show that the triangle ABC with vertices A(0, 4, 1), B(2, 3, -1) and C...

    Text Solution

    |

  11. Find the centroid of the triangle whose vertices are (3, -5), (-7, 4) ...

    Text Solution

    |

  12. Find the centroid of a triangle, the mid-point of whose sides are D(1,...

    Text Solution

    |

  13. The mid-points of the sides of a triangle are (5, 7, 11), (0, 8, 5) an...

    Text Solution

    |

  14. Three consecutive vertices of a parallelogram ABCD are A(6, -2, 4), B(...

    Text Solution

    |

  15. Find the coordinate of the points which trisect the line segment joini...

    Text Solution

    |

  16. If the origin is the centroid of a triangle ABC having vertices A(a, 1...

    Text Solution

    |

  17. If A(2, 2, -3), B(5, 6, 9) and C(2, 7, 9) be the vertices of a triangl...

    Text Solution

    |