Home
Class 12
MATHS
The point P is the intersection of the s...

The point P is the intersection of the straight line joining the points `Q(2,3,5)` and `R(1,-1,4)` with the plane `5x - 4y -z = 1`. If S is the foot of the perpendicular drawn from the point `T(2,1,4)` to QR, then the length of the line segment PS is (A) `1/sqrt2` (B) `sqrt2` (C) ` 2` (D) `2sqrt2`

A

`1//sqrt(2)`

B

`sqrt(2)`

C

2

D

`2sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2( SINGLE CORRECT ANSWER TYPE QUESTIONS))|30 Videos
  • THE DIMENSIONAL GEOMETRY

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

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS))|15 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

The point P is the intersection of the straight line joining the points Q(2,3,5) and R(1,-1,4) with the plane 5x-4y-z=1 If S is the foot of the perpendicular drawn from the point T(2,1,4) to QR,then the length of the line segment PS is (A) (1)/(sqrt(2)) (B) sqrt(2)(C)2(D)2sqrt(2)

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

The projection of the line segment joining the Points (1, 2, 3) and (4, 5, 6) on the plane 2x + y + z = 1 is

A line joining the points (1,1,1) and (2,2,2) intersect the plane x+y+z=9 at the point

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

The point at which the line joining the points (2, -3, 1) and (3, -4, -5) intersects the plane 2x+y+z=7 is

The length of the perpendicular drawn from the point (5,4,-1) on the line (x-1)/(2)=(y)/(9)=(z)/(5)

The foot of the perpendicular drawn form the point (4,2,3) to the line joining the points (1,-2,3) and (1,1,0) lies on the plane:

Find the coordinates of the foot of the perpendicular drawn from the point A(1,2,1) to the line joining B(1,4,6) and C(5,4,4)

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 1( SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. The distance between the line vecr = 2i - 2j + 3k + lamda(i - j + 4k)...

    Text Solution

    |

  2. then image of the point (-1,3,4) in the plane x-2y=0

    Text Solution

    |

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

    Text Solution

    |

  4. If a line makes an angle of pi/4 with the positive directions of ea...

    Text Solution

    |

  5. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

    Text Solution

    |

  6. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  7. The distance of the point (1,-5,9) from the plane x-y+z=5 measured alo...

    Text Solution

    |

  8. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  9. An equation of a plane parallel to the plane x-2y +2 z-5=0 and at a un...

    Text Solution

    |

  10. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  11. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  12. The projections of a vector on the three coordinate axis are 6, 3 ,...

    Text Solution

    |

  13. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |

  14. (x+1)/3=(y+2)/1=(z+1)/2"and"(x-2)/1=(y+2)/2=(z-3)/3

    Text Solution

    |

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

    Text Solution

    |

  16. The vertices of a triangle are A(1,0,0),B(0,2,0),C(0,0,3). If the dire...

    Text Solution

    |

  17. Find the equation of the plane which contains the two parallel lines ...

    Text Solution

    |

  18. The length of projection, of the line segment joining the points (1,-1...

    Text Solution

    |

  19. The point P is the intersection of the straight line joining the point...

    Text Solution

    |

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

    Text Solution

    |