Home
Class 12
MATHS
Find the perpendicular distance of (1,0,...

Find the perpendicular distance of (1,0,0) from the line `(x-1)/(2)=(y+1)/(-3)=(z+10)/(8)`
Also find the coordinates of foot of perpendicular and the equation of the perpendicular.

Text Solution

Verified by Experts

The correct Answer is:
`2sqrt(6)(3,-4,-2);(x-1)/(1)=(y)/(-2)=(z)/(-1)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE (M.C.Q) |7 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VII) Short Answer Type Questions |13 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

Similar Questions

Explore conceptually related problems

Find the perpendicular distance of the point (1,0,0) from the line : (x-1)/2=(y+1)/-3=(z+10)/8 . Also find the co ordinates of the foot of the perpendicular.

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

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 equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.

Find the length of the perpendicular from the point(2,3,7) to the plane 3x-y-z=7 . Also find the co-ordinates of the foot of the perpendicular.

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

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VIII) Long Answer Type Questions
  1. Find the length of perpendicular from (2,1,3) on the line (x-4)/(5)=...

    Text Solution

    |

  2. Find the perpendicular distance of (1,0,0) from the line (x-1)/(2)=(y+...

    Text Solution

    |

  3. Find the length and foot of perpendicular drawn from the point (2,-1,3...

    Text Solution

    |

  4. Find the equation of line parallel to x-axis

    Text Solution

    |

  5. Find the image of the point (2,-1,5) in the line (x-11)/(10)=(y+2)/(-4...

    Text Solution

    |

  6. Find the image of the point P(3,4,2) in the line vec(r)=-hat(i)+3hat(j...

    Text Solution

    |

  7. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

    Text Solution

    |

  8. Write the vector equation of the following lines and hence find distan...

    Text Solution

    |

  9. Find the equation of the plane through the point (0, 0, 0) and (3, -1 ...

    Text Solution

    |

  10. Find the equation of the plane passing through the points (2,1,0), (3,...

    Text Solution

    |

  11. Find the equation of the plane through the points (2,-3,-1) and (5,2,-...

    Text Solution

    |

  12. Find the vector equation of the plane through the points (2,1,-1) and ...

    Text Solution

    |

  13. Find the equation of the plane passing through (1,1,-1) and perpendicu...

    Text Solution

    |

  14. Find the equation of the plane passing through (-1,-1,2) and perpendic...

    Text Solution

    |

  15. Find the length and the foot of the perpendicular from the point (7, 1...

    Text Solution

    |

  16. Find the image of (2,-1,3) in the plane 3x-2y-z=9.

    Text Solution

    |

  17. A variable plane which remains at a constant distance 3p from the orig...

    Text Solution

    |

  18. Find the cartesian and vector equations of the planes passing through ...

    Text Solution

    |

  19. Find the distance of the point P(6,5,9) and from the plane through the...

    Text Solution

    |

  20. Find the distance of the point (2,3,4) measured parallel to the line (...

    Text Solution

    |