Home
Class 11
MATHS
Prove that the points (1,-3,1), (0,1,2),...

Prove that the points (1,-3,1), (0,1,2), (2,-1,3) are the vertices of an isosceles right angled triangle

Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos

Similar Questions

Explore conceptually related problems

Prove that the points (-1,5) , (3,2) and (-1,-1) are the vertices of an isosceles traigle . Find the coordinates of its centroid.

Calculating the angle of the triangle, prove that the points A(3, 4, -1) , B(1, 5, 1) and C(1, 2, -2) are the vertices of an isosceles triangle.

Show that the points (3,0),(6,4) and (-1,3) are the vertices of a right angled isosceles triangle.

Without using the Pythagoras theorem, show that the points (4,4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.

Show that the points (2,1) (0,0) (-1,2) and (1,3) are the vertices of a square.

Show that the points (0,7,10), (-1,6,6) and (-4,9,6) are the vertices of a right angled isosceles triangle.

Show that the points A=(2,-1,1),B=(1,-3,-5) and C=(3,-4,-4) are vertices of a right angled triangle (using vector method).

Prove that the point (-2,-1),(1,0),(4,3)a n d(1,2) are the vertices of parallelogram. Is it a rectangle?

Prove that the points A(-2,-1) B(1,0), C(4,3) and D(1,2) are the vertices of a parallelogram. Is it a rectangle ?

Show that the points (6,6) , (2,3) and (4,7) are the vertices of a right angled triangle

PATHFINDER-3D-GEOMETRY-QUESTION BANK
  1. Find the locus of a moving point whose distance from the point(1,-1,2)...

    Text Solution

    |

  2. Find the ratio in which the line joining the pts (-3,4,8) and (5,-6,4)...

    Text Solution

    |

  3. Prove that the triangle formed by joining the three points whose co-or...

    Text Solution

    |

  4. A,B,C are three points on the axes of x, y and z respectively at dist...

    Text Solution

    |

  5. Find the locus of a point P such that3bar(PA^2)=2bar(PB^2)where A(1,1,...

    Text Solution

    |

  6. Find the possible octants where the point (x,y,z)may lie for z-y=0

    Text Solution

    |

  7. Find the octants which contain the point (x,y,z) satisfying xygt0

    Text Solution

    |

  8. Give the interpretation of the following equation x=0,y=0

    Text Solution

    |

  9. Give the interpretation of the following equation y=0,z=0

    Text Solution

    |

  10. Give the interpretation of the following equation x=a,z=c

    Text Solution

    |

  11. Prove that the points (1,-3,1), (0,1,2), (2,-1,3) are the vertices of ...

    Text Solution

    |

  12. The midpoints of the sides of a triangle are (1,5,-1), (0,4,-2) & (2,3...

    Text Solution

    |

  13. If the origin is the centroid of the triangle PQR with vertices P(2a, ...

    Text Solution

    |

  14. Show that the points (1,1,1), (-2,4,1), (-1,5,5) & (2,2,5) form a squa...

    Text Solution

    |

  15. Find the coordinates of the points which divide the segment joining th...

    Text Solution

    |

  16. A & B are two pts (0,2,3) and (2,-2,1) respectively find the locus of ...

    Text Solution

    |

  17. find the equation of the sphere passing through the four points (0,0,0...

    Text Solution

    |

  18. Find the ratio in which the yz-plane divides the join of the points (-...

    Text Solution

    |

  19. A and B are two points (0,2,3) and (2,-2,1) respectively. Find the loc...

    Text Solution

    |

  20. Show that the plane ax+by+ca+d=0 divides the line joining the points (...

    Text Solution

    |