Home
Class 12
MATHS
Find the foot of perpendicular from the ...

Find the foot of perpendicular from the point `(2,3,-8)` to the line.
`(4-x)/2=y/6=(1-z)/3`. Also find the perpendicular distance from the given point to the line.

Text Solution

Verified by Experts

The correct Answer is:
`(2,6,-2) 3 sqrt5` units
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|42 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Find the proof of perpendicular from the point (2,3,4) to the line (4-x)/2=y/6=(1-z)/3dot Also, find the perpendicular distance from the given point to the line.

Find the foot of the perpendicular from the point (2,3,-8) to the line (4-x)/2 =y/6=(1-z)/3 . Find the perpendicular distance from the given point to the line.

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

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

Find the foot of the perpendicular from the point (2,4) upon x+y=1.

Find the length of perpendicular from point (3,-2) to the line 3x-4y-2=0 .

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

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

Find the foot of the perpendicular from the point (0,2,3) on the line (x+3)/5=(y-1)/2=(z+4)/3dot Also, find the length of the perpendicular.

Find the length of perpendicular drawn from point (2,-1) to the line 3x+4y-11=0 .

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
  1. Find the foot of perpendicular from the point (2,3,-8) to the line. ...

    Text Solution

    |

  2. Let P be the image of the point (3, 1, 7) with respect to the plane x...

    Text Solution

    |

  3. The equation of the plane passing through the point (1,1,1) and perpen...

    Text Solution

    |

  4. A line with positive direction cosines passes through the point P(2, -...

    Text Solution

    |

  5. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  6. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  9. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

    Text Solution

    |

  10. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  11. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

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

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  15. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  16. Consider three planes P(1):x-y+z=1, P(2):x+y-z=-1 and P(3):x-3y+3z=2...

    Text Solution

    |

  17. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  18. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

    Text Solution

    |

  19. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  20. A line l passing through the origin is perpendicular to the lines l(...

    Text Solution

    |

  21. In R(3) , consider the planes P(1):y=0and P(2) : x+z=1. Let P(3) ...

    Text Solution

    |