Home
Class 12
MATHS
The length of projection of the line seg...

The length of projection of the line segment joining the points `(1,0,-1) and (-1,2,2)` on the plane `x+3y-5z=6` is equal to

A

`2`

B

`sqrt((271)/(53))`

C

`sqrt((472)/(31))`

D

`sqrt((474)/(35))`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|7 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The length of projection of the line segment joining the points (1,0,-1)a n d(-1,2,2) on the plane x+3y-5z=6 is equal to a. 2 b. sqrt((271)/(53)) c. sqrt((472)/(31)) d. sqrt((474)/(35))

The length of projection of the line segment joining the points (1,0,-1)a n d(-1,2,2) on the plane x+3y-5z=6 is equal to a. 2 b. sqrt((271)/(53)) c. sqrt((472)/(31)) d. sqrt((474)/(35))

The length of projection, of the line segment joining the points (1,-1,0) and (-1,0,1) to the plane 2x+y+6z=1 is equal to

The length of the projection of the line segment joining the points (5,-1,4) and (4,-1,3) on the plane x+y+z=7 is

If the length of the projection of the line segment joining the points (1, 2, -1) and (3, 5, 5) on the plane 3x-4y+12z=5 is equal to d units, then the value of 169d^(2) equal to

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

What is length of the projection of line segment joining points (2,3) and (7,5) on x-axis.

The projection of the line segment joining the points A(-1,0,3) and B(2,5,1) on the line whose direction ratios are proportional to 6,2,3 is

Find the ratio in which the line segment joining the points (2,-1,3) and (-1,2,1) is divided by the plane x+y+z=5.

The linee joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y+z=6 at the point

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is...

    Text Solution

    |

  2. Find the value of m for which the straight line 3x-2y+z+3=0=4x-3y+4z+1...

    Text Solution

    |

  3. The length of projection of the line segment joining the points (1,0,-...

    Text Solution

    |

  4. The number of planes that are equidistant from four non-coplanar point...

    Text Solution

    |

  5. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

    Text Solution

    |

  6. A plane passing through (1,1,1) cuts positive direction of coordinates...

    Text Solution

    |

  7. If lines x=y=zandx=(y)/(2)=(z)/(3) and third line passing through (1,1...

    Text Solution

    |

  8. Find the point of intersection of line passing through (0,0,1) and ...

    Text Solution

    |

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

    Text Solution

    |

  10. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

    Text Solution

    |

  11. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

    Text Solution

    |

  12. Let r=a+lambdal and r=b+mum br be two lines in space, where a= 5hat(i)...

    Text Solution

    |

  13. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  14. The vector equations of two lines L1 and L2 are respectively vec r=1...

    Text Solution

    |

  15. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

    Text Solution

    |

  16. Intercept made by the circle zbarz+bara+a barz+r=0 on the real axis ...

    Text Solution

    |

  17. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

    Text Solution

    |

  18. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

    Text Solution

    |

  19. If from the point P(f, g, h) perpendicular PL and PM be drawn to yz an...

    Text Solution

    |

  20. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

    Text Solution

    |