Home
Class 12
MATHS
Find the equation of the plane that cont...

Find the equation of the plane that contains the point A(1,-1,2) and is perpendicular to both the planes `2x+3y-2z=5` and `x+2y-3z=8`. Hence, find the distance of the point `P(-2,5,5)` from the plane obtained above

Text Solution

Verified by Experts

The correct Answer is:
` = sqrt(42)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic - 3 (Short answer type questions - II)|9 Videos
  • SOLVED PAPER ( Topper Answers March - 2015 )

    OSWAAL PUBLICATION|Exercise PART - E|4 Videos
  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 4 (Short Answer Type Questions - II|7 Videos

Similar Questions

Explore conceptually related problems

Find the distance of the point (2,3,-5) from the plane r.(i+2j-2k)=9 .

Find the distance of the point (-6,0,0) from the plane 2x-3y+6z = 2 .

Find the distance of the point (3,-2,1) from the plane 2x -y+2z +3=0

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+ 2y+3z-7=0 and 2x-3 y+4 z=0 is

Find the distance of the point (-6, 0, 0) from the plane 2x - 3y + 6z = 2.

Find the distance of the point (3,-2,1) from the plane 2x-y+2z+3=0.

A plane passes through (1, - 2, 1) and is perpendicular to the planes 2x - 2y +z = 0 and x-y + 2z = 4. The distance of the plane from the point (1, 2, 2) is:

Find the distance of a point (2,5,-7) from the plane vecr.(6hati-3hatj+2hatk)=4

OSWAAL PUBLICATION-THREE DIMENSIONAL GEOMETRY-Topic - 3 (Long answer type questions - II)
  1. Find the equation of the plane passing through the line of intersecti...

    Text Solution

    |

  2. Find the distance between the point (7,2,4) and the plane determined b...

    Text Solution

    |

  3. Find the distance of the point (-1,-5,-10) from the point of intersect...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the distance of the point (2,12,5) from the point of intersectio...

    Text Solution

    |

  6. Find the equation of the plane that contains the point A(1,-1,2) and ...

    Text Solution

    |

  7. Show that the lines (x+3)/(-3) = (y-1)/1 = (z-5)/5 and (x+1)/ (-1) = (...

    Text Solution

    |

  8. Find the coordinates of the point where the line through (3,-4,-5) and...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the vector equation of the plane passing through three points ...

    Text Solution

    |

  11. Find the equation of the plane determined by the points (A(3,-1,\ 2...

    Text Solution

    |

  12. Find the vector equation of the line passing through the point (1,2...

    Text Solution

    |

  13. Equation of the plane that contains the lines r=(hat(i)+hat(j))+lambd...

    Text Solution

    |

  14. If the lines (x-1)/(-3)=(y-2)/(-2y)=(z-3)/2 and (x-1)/k=(y-2)/1-(z-3)...

    Text Solution

    |

  15. Find the vector and cartesian equations of a plane containing the two ...

    Text Solution

    |

  16. Find the distance of the point (-1,-5,-10) from the point of intersect...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the vector equation of the plane which contains the line of in...

    Text Solution

    |

  19. Find the coordinates of the foot of the perpendicular and the perpendi...

    Text Solution

    |

  20. Find the equation of the plane passing through the point P(1,1,1) and...

    Text Solution

    |