Home
Class 12
MATHS
Show that the four points : (0,-1,1),(4,...

Show that the four points : (0,-1,1),(4,5,1),(3,9,4),(-4,4,4) are coplanar. Also find the equation of the plane containing them.

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are coplanar and find the equation of the common plane.

Show that the four points S(0,-1,0), B(2,1,-1), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

Show that the points A(4,5,1), B(0,-1,-1), C(3,9,4) and D(-4,4,4) are coplanar.

Show that the points (0,-1,-1) , (-4,4,4) , (4,5,1) and (3,9,4) are coplanar.

Prove that the points (2, -1, 3), (1, 2, -1), (3, 4, 5) and (0, -7, -2) are co-planar. Also find the equation of the plane containing these points.

Show that the points (1,-1,1),(2,3,1),(1,2,3) and (0,-2,3) are coplanar. Find the equation of the plane in which they lie.

Show that the points A(3,2,1),B(4,5,5),C(4,2,-2) and D(6,5,-1) are coplanar.

Show that the points (-6,3,2),(3,-2,4),(5,7,3) and (-13,17,-1) are coplanar.

Show that the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-4)/5 are coplanar. Also find the equation of the plane containing the lines.

Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5)/5 are coplanar. Also find the equation of the plane containing the lines.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Show that the following four points are coplanar : (4,5,1),(0,-1,-1),(...

    Text Solution

    |

  2. Show that the following four points are coplanar :(0,-1,0),(2,1,-1),(1...

    Text Solution

    |

  3. Show that the four points : (0,-1,1),(4,5,1),(3,9,4),(-4,4,4) are copl...

    Text Solution

    |

  4. The foot of the perpendicular drawn from the origin to the plane is : ...

    Text Solution

    |

  5. Find the foot and length of the perpendicular from the point (3,4,5) t...

    Text Solution

    |

  6. Find the length and the foot of the perpendicular from the point (7, 1...

    Text Solution

    |

  7. Find the co-ordinates of the points where the line through the points ...

    Text Solution

    |

  8. Find the distance between two parallel planes : 2x+3y+4z=4 and 4x+6y+8...

    Text Solution

    |

  9. Find the equation passing throught the intersection of the planes : 2x...

    Text Solution

    |

  10. Find the equation of the plane throught he intersection of the planes ...

    Text Solution

    |

  11. Find the vector equation of the plane through the intersection of the ...

    Text Solution

    |

  12. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  13. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  14. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  15. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  16. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  17. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  18. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  19. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

  20. Find the equation of the plane passing through the points (2,2,1), (9,...

    Text Solution

    |