Home
Class 12
MATHS
A plane passes through (1,-2,1) and is ...

A plane passes through (1,-2,1) and is perpendicualr to two planes` 2x-2y+z=0" and "x-y+2z=4,` then the distance of the plane from the point (1,2,2) is

A

0

B

1

C

`sqrt(2)`

D

`2sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|23 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS ))|15 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1( SINGLE CORRECT ANSWER TYPE QUESTIONS))|55 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

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

Equation of plane passing through (-1,-1,2) and perpendicular to two planes x-2y+z=4 and x+2y-2z+4=0 is

find distance of the plane 2x-y+3z=4 from point (1,0,-2)

A plane passes through the point (1,-2,3) and is parallel to the plane 2x-2y+z=0 . The distance of the point (-1,2,0) from the plane, is

A plane P = 0 passing through the point (1, 1, 1) is perpendicular to the planes 2x-y+2z=5 and 3x+6y-2z=7 . If the distance of the point (1, 2, 3) from the plane P = 0 is k units, then the value of 34k^(2) is equal to

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 2( SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. Find the vector equation of a line passing through 3 hat i-5 hat j+...

    Text Solution

    |

  2. If the perpendicular distance of a point A, other than the origin from...

    Text Solution

    |

  3. If d(1),d(2),d(3) denote the distances of the plane 2x-3y+4z=0 from th...

    Text Solution

    |

  4. Equation of the plane containing the lines. r=i+2j-k+lambda(i+2j-k) ...

    Text Solution

    |

  5. Show that the foot of the perpendicular from the origin to the join of...

    Text Solution

    |

  6. Cosine of the angle between the lines whose vector equations are r=3i+...

    Text Solution

    |

  7. Find the equation of the plane through the line of intersection of ve...

    Text Solution

    |

  8. If 1,m ,n are the direction cosines of the line of shortest distance b...

    Text Solution

    |

  9. Equation of the line through the point (2,-1,1) and the intersection o...

    Text Solution

    |

  10. Under what condition do the planes bx-ay=n,cy-bz=l,az-cx=m intersect ...

    Text Solution

    |

  11. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  12. A variable plane at distance of 1 unit from the origin cuts the coordi...

    Text Solution

    |

  13. A plane passes through (1,-2,1) and is perpendicualr to two planes 2x...

    Text Solution

    |

  14. A line with positive direction cosines passes through the point P(2, –...

    Text Solution

    |

  15. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  16. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

    Text Solution

    |

  17. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha...

    Text Solution

    |

  18. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  19. (i) Find the equation of the plane passing through the points(2,1,0...

    Text Solution

    |

  20. If the distance between the plane Ax-2y+z=d and the plane containing ...

    Text Solution

    |