Home
Class 12
MATHS
The length of the perpendicular drawn fr...

The length of the perpendicular drawn from the point `(3, -1, 11)` to the line `(x)/(2)=(y-2)/(3)=(z-3)/(4)` is

A

`sqrt(66)`

B

`sqrt(29)`

C

`sqrt(33)`

D

`sqrt(53)`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 Videos

  • THEORY OF EQUATIONS

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

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

Similar Questions

Explore conceptually related problems

Find the equations of the perpendicular from the point (3, -1, 11) to the line (x)/(2)=(y-2)/(3)=(z-3)/(4) . Also find the coordinates of the foot of the perpendicular and length of the perpendicular.

Find the length of perpendicular drawn from the point (3,4,5) on the line (x-2)/(2)=(y-3)/(5)=(z-1)/(3) Also find the foot of perpendicular.

Find the equations of the perpendicular from the point (3,-1,11,) to the line : x/2=(y-2)/3=(z-3)/4

Find the length and foot of perpendicular drawn from the point (2,-1,3) to the line (x-11)/(10)=(y+2)/(-4)=(z+8)/(-11)

Find the perpendicular distance of the point (1, 1, 1) from the line (x-2)/(2)=(y+3)/(2)=(z)/(-1) .

Find the equation of the perpendicular drawn from the point (2,4,-1) to the line (x+5)/1=(y+3)/4=(z-6)/-9

Find the length of the perpendicular from the point (1,2,3) to the line : (x-6)/3=(y-7)/2=(z-7)/-2

The length of the perpendicular drawn from the origin to 2x-3y+6z+21=0

Find the length of the perpendicular drawn from point (2,3,4) to line (4-x)/2=y/6=(1-z)/3dot

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

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

    Text Solution

    |

  3. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

    Text Solution

    |

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

    Text Solution

    |

  9. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

    Text Solution

    |

  10. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

    Text Solution

    |

  15. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

    Text Solution

    |

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

    Text Solution

    |

  17. If the plane 2ax-3ay+4az+6=0 passes through the mid point of the line ...

    Text Solution

    |

  18. If the angle theta between the line (x+1)/(1) = ( y-1)/(2) = (z-2)/(2)...

    Text Solution

    |

  19. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

    Text Solution

    |

  20. The plane x+2y-z=4 cuts the sphere x^(2)+y^(2)+z^(2)-x+z-2=0 in a circ...

    Text Solution

    |