Home
Class 12
MATHS
Show that the four point (0,-1,-1),(4,5,...

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.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos

  • VECTOR OR CROSS PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

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

Show that the four points (0,-1,-1),(-4,4,4),(4,5,1)a n d(3,9,4) are coplanar. Find the equation of plane containing them.

Show that the four points S(0,-1,0), B(2,1,01), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

Show that the point A(4,-1,2), B(-3,5,1), C(2,3,4) and D(1,6,6) are coplanar. Also find the equation of the plane passing through these points.

Show that the points A(0,4,3) , B(-1,-5,-3), C(-2,-2,1) and D(1,1,1) are coplanar. Also find the equation of the plane in which these points lie.

Find the equation of the plane passing through the points (0,-1,-1), (4,5,1) and (3,9,4). Also find the vector equation of the plane.

Prove that the points (5,1),\ (1,-1)a n d\ (11 ,4) are collinear. Also find the equation of the straight line on which these points lie.

Show that the coplanar points (0,4,1),(2,3,-1),(4,5,0) and (2,6,2) are the vertices of a square.

Show that the points (1, 7), (4, 2), (-1, -1) a n d ( -4, 4) are the vertices of a square.

Find the vector equation of the plane passing through the points A(2,2,-1),B(3,4,1)a n dC(7,0,6)dot Also, find the Cartesian equation of the plane.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. A plane meets the coordinate axes in A ,B ,C such that the centroid of...

    Text Solution

    |

  2. Write the equation of the plane whose intercepts on the coordinate axe...

    Text Solution

    |

  3. Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are co...

    Text Solution

    |

  4. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

    Text Solution

    |

  5. Find the image of the point with position vector 3 hat i+ hat j+2 hat ...

    Text Solution

    |

  6. Find the length and the foot of perpendicular from the point (1,3//...

    Text Solution

    |

  7. Find the distance between the point with position vector hat i-5 hat ...

    Text Solution

    |

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

    Text Solution

    |

  9. Show that the plane whose vector equation is vec rdot( hat i+2 hat j-...

    Text Solution

    |

  10. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

    Text Solution

    |

  11. Show that the lines vec r=( hat i+ hat j- hat k)+lambda(3 hat i- hat ...

    Text Solution

    |

  12. Find the distance of the point P(-1,-5,-10) from the point of intersec...

    Text Solution

    |

  13. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

    Text Solution

    |

  14. Show that the plane whose vector equation is vec r*( hat i+2 hat j= h...

    Text Solution

    |

  15. Find the equation of the plane passing through the point (0,7,-7) and...

    Text Solution

    |

  16. Find the equation of the plane passing through the points (1,-1,2)a n ...

    Text Solution

    |

  17. Find the equation of the plane passing through the point whose coor...

    Text Solution

    |

  18. Find the equation of the plane passing through the point (1,1,-1)a n d...

    Text Solution

    |

  19. Find the equation of the plane passing through the point (-1,-1,2)a n ...

    Text Solution

    |

  20. Find the angle between the planes x+y+2z=9a d n2x-y+z=15.

    Text Solution

    |