Home
Class 12
MATHS
Find the equations of the planes paralle...

Find the equations of the planes parallel to the plane `x-2y+2z-3=0` which is at a unit distance from the point `(1,2,3)`.

Text Solution

Verified by Experts

The correct Answer is:
`x-2y+2z=0,z-2y+2z-6=0`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 F|5 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 G|10 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 D|35 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • VECTORS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the plane parallel to the plane x-2y+2z-3=0\ and which are at a unit distance from the point (1, 1, 1).

Find the equations of the planes parallel to the plane x+2y-2z+8=0 which are at distance of 2 units from the point (2,1,1)dot

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is

Find the equation of a plane which is parallel to the plane x-2y+2z=5 and whose distance from thepoint (1,2,3) is 1.

Find the equation of planes parallel to the plane 2x-4y+4z=7 and which are at a distance of five units from the point (3,-1,2)

Find the equation of the plane mid parallel to the planes 2x-2y+z+3=0\ a n d\ 2x-2y+z+9=0.

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=5 and a t a distance of 1/sqrt6 from the point (2,1,-1).

Find the equation of the plane containing the lines 2x-y+z-3=0, 3x+y+z=5 and at a distance of 1/sqrt6 from the point (2,1,-1) .

NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11 E
  1. The equation of the line passing through (1, 2, 3) and parallel to the...

    Text Solution

    |

  2. Find the perpendicular distance from the point (2hati-hatj+4hatk) to t...

    Text Solution

    |

  3. Find the perpendicular distance from the point (2hati+hatj-hatk) to th...

    Text Solution

    |

  4. Find the distance of the point (21,0) from the plane 2x+y+2z+5=0.

    Text Solution

    |

  5. Find the distance of each of the following points from the correspondi...

    Text Solution

    |

  6. If the points (1,1,lamda) and (-3, 0,1) are equidistant from the plan...

    Text Solution

    |

  7. Find the distance between the parallel planes 2x-y+3-4=0\ a n d\ 6x-3y...

    Text Solution

    |

  8. Find the distance between the parallel planes, vec r = dot(2 hat i-3 ...

    Text Solution

    |

  9. Find the equations of the planes parallel to the plane x-2y+2z-3=0 whi...

    Text Solution

    |

  10. Find the length of the foot of the perpendicular from the point (1,1,2...

    Text Solution

    |

  11. Find the coordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the image of the point O(0,0,0) in the plane 3x+4y-6z+1=0

    Text Solution

    |

  14. A variable plane which remains at q constant distance 3p from the orig...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the distance of the point (0.-3. -2) from the plane x + 2y - z = ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Find the equation of a line passing through the point (2hati-3hatj-5h...

    Text Solution

    |

  20. Find the vector equation of a plane which is at a distance of 5 units ...

    Text Solution

    |