Home
Class 12
MATHS
If the distance of the point P (1,-2, 1)...

If the distance of the point P (1,-2, 1) from the plane x + 2y - 2z = `alpha` where `alpha` > 0, is 5, then the foot of the perpendicular from P to the plane is :

A

(8/3,4/3,7/3)

B

(4/3,4/3,1/3)

C

(1/3,2/3,10/3)

D

(2/3,-1/3,5/2)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

The distance of the point (1,2,1) from the line (x-1)/2=(y-2)/1=(z-3)/2 is

The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

The foot of the perpendicular from the point (2,4) upon x+y=4 is

Foot of the perpendicular from (-2,-1) on to the line 3 x+2 y-5=0 is

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The equation of the line passing through the point (3,2) and perpendic...

    Text Solution

    |

  2. Let (P (3,2,6) be a point in space and Q be point on the line vecr = (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If the distance between the plane Ax+2y+z=d and the plane containing t...

    Text Solution

    |

  6. A line from the origin meets the lines (x-2)/1 = (y-1)/(-2) = (z+1)/1 ...

    Text Solution

    |

  7. The direction ratios of a normal to the plane thro' (1,0,0), (0, 1, 0)...

    Text Solution

    |

  8. The plane, which passes through the point (3, 2, 0) and the line (x-3)...

    Text Solution

    |

  9. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

    Text Solution

    |

  10. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  11. A line with direction cosines proportional to 2,1,2 meets each of the ...

    Text Solution

    |

  12. If the straight line, x =1 + s, y = 3-lambdas, z = 1+ lambdas and x=t/...

    Text Solution

    |

  13. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

    Text Solution

    |

  14. If the angle theta between the (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2...

    Text Solution

    |

  15. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

    Text Solution

    |

  16. Let L be the line of intersection of the planes: 2x + 3y +z = 1 and ...

    Text Solution

    |

  17. If the line passing through the point (5,1,a) and (3,b,1) crosses the ...

    Text Solution

    |

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

    Text Solution

    |

  19. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x+3y-alpha z+...

    Text Solution

    |

  20. A line AB in three-dimensional space makes angles 45^@ and 120^@ with ...

    Text Solution

    |