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,w h e r ealpha>0,i s5,` then the foot of the perpendicular from `P` to the place 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,-5/3)`

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

  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • PLANE

    TARGET PUBLICATION|Exercise CRITICAL THINKING|58 Videos

  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

Similar Questions

Explore conceptually related problems

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 place 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)/(3))

The foot of the perpendicular from the point P(1,3,4) to the plane 2x-y+z+3=0 is

Find the foot of perpendicular from (0, 2, 3) to the line (x-3)/2= (y-1)/2=(z+4)/3 .

Find the distance of the point (0,-3,2) from the plane 3x+2y+2z+5=0 , measured parallel to the line (x+1)/3=(y+1)/2=z/3 .

The ratio of the distances from the points (1,-1,3) and (3,3,3) to the plane 5x+2y-7z+9=0 is

The foot of the perpendicular drawn from point (2,-3,1) to the line (x+1)/2 = (y-3)/3 = (z+2)/-1 is

Find the coordinate of the foot of the perpendicular from P(2,1,3) on the line joinint the points A(1,2,4) and B(3,4,5)

Find the coordinates of the foot of the perpendicular from P(2,1,3) on the lines joining the points A(1,2,4) and B(3,4,5) .

TARGET PUBLICATION-PLANE-COMPETATIVE THINKING
  1. If L1 is the line of intersection of the planes 2x-2y+3x-2=0x-y+z+1=0 ...

    Text Solution

    |

  2. The equation of a plane passing through the line of intersection of th...

    Text Solution

    |

  3. The point A(-1,3,0), B(2,2,1) and C(1,1,3) determine a plane. The dist...

    Text Solution

    |

  4. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  5. In a three-dimensional x y z space , the equation x^2-5x+6=0 represent...

    Text Solution

    |

  6. The plane (x)/(a)+(y)/(b)+(z)/(c )=3 meets the co-ordinate axes in A,B...

    Text Solution

    |

  7. A plane cuts the coordinate axes X,Y,Z at A,B,C respectively such that...

    Text Solution

    |

  8. Plane ax+by+cz=1 intersect axes in A,B,C respectively. If G((1)/(6),-(...

    Text Solution

    |

  9. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

    Text Solution

    |

  10. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  11. The point of intersection of the line (x)/(1)=(y-1)/(2)=(z+2)/(3) and ...

    Text Solution

    |

  12. The co-ordinate of the point where the line (x-6)/(-1)=(y+1)/(0)=(z+3)...

    Text Solution

    |

  13. The point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the...

    Text Solution

    |

  14. which of the following points is on the line of intersection of planes...

    Text Solution

    |

  15. The distance of the point (1, 0, 2) from the point of intersection ...

    Text Solution

    |

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

    Text Solution

    |

  17. A point P lies on a line through Q(1,-2,3) and is parallel to the line...

    Text Solution

    |

  18. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 mesure...

    Text Solution

    |

  19. The length of the projection of the line segment joining the points (5...

    Text Solution

    |

  20. If the three planes x=5,2x-5ay+3z-2=0 and 3bx+y-3z=0 contain a common ...

    Text Solution

    |