Home
Class 12
MATHS
Find the points on the line (x+2)/3=(y+1...

Find the points on the line `(x+2)/3=(y+1)/2=(z-3)/2\ ` at a distance of 5 units from the point `P(1,3,3,)dot`

Text Solution

Verified by Experts

The correct Answer is:
`(4,3,7)`.
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (A) (SHORT ANSWER TYPE QUESTIONS )|7 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (A) (LONG ANSWER TYPE QUESTIONS (I) )|8 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

Find the point on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance of 3sqrt(2) from the point (1,2,3)

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

Find the point on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance 3sqrt(2) from the point (1,2,3)

Find the co-ordinates of those points on the line (x+1)/(2)=(y+2)/(3)=(z-3)/(6) which is at a distance of 3 units from the point (1,-2,3)

The point of the line (x-2)/(1)=(y+3)/(-2)=(z+5)/(-2) at a distance of 6 from the point (2,-3,-5) is

Find coordinates of those points on the line (x-1)/2=(y+2)/3=(z+3)/6 which are at a distance of 3 units from points (1,-2,3)

Statement 1: A point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance 3sqrt(2) from the point (1,2,3) lies on the lne (x+7)/5=(y+t)/4=(z-2)/1 Statement 2: If d is the distance between the point (-1,-5,-10) and the point of intersectionof the line (x-2)/3=(y+1)/4=(z-2)/12 with the plane x-y+z=5 then d=13

Find the coordinates of those point on the line (x-1)/(2)=(y+2)/(3)=(z-3)/(6) which are at a distance of 3 units from points (1, -2, 3) .

Find the coordinates of the points on the line (x +1)/(2) = (y - 2)/(3) = (z + 3)/(6) , which are at a distance of 3 units from the point ( -1 , 2 , -3).

Find the co-ordinates of the point at a distance of sqrt(5) units from the point (1,2,3) on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2) .

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXAMPLE
  1. Find the vector equation of the line which passes through the point (3...

    Text Solution

    |

  2. Find the direction-cosines of the line: (x-1)/(2) = -y = (z + 1)/(2)...

    Text Solution

    |

  3. Find the vector of the line joining (1,2,3) and (-3, 4,3) and show tha...

    Text Solution

    |

  4. Find the vector equation of the line through (4,3, -1) and parallel to...

    Text Solution

    |

  5. Find the angle between the following pair of lines : vec(r) = hati +...

    Text Solution

    |

  6. Find the angle between the following pair of lines (x-2)/(2) = (y - ...

    Text Solution

    |

  7. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance...

    Text Solution

    |

  8. Find the equations of the line passing through the point (-1,3,-...

    Text Solution

    |

  9. If hat(i) + hatj + hatk, 2 hati + 5 hatj , 3 hati + 2 hatj - 3 hatk an...

    Text Solution

    |

  10. Find the value of 'lambda' so the lines: (1-x)/(3) = (7y -14)/(lamb...

    Text Solution

    |

  11. Find the length of the perpendicular from point (3,4,5) on the line (x...

    Text Solution

    |

  12. Find the coordinates of the foot of perpendicular drawn from the point...

    Text Solution

    |

  13. Find the vector equation of the line parallel to the line : (x -1)/(...

    Text Solution

    |

  14. Find the equations of the perpendicular drawn from the point P(2,4,-1)...

    Text Solution

    |

  15. Find the image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 . ...

    Text Solution

    |

  16. Find the co-ordinates of the foot of perpendicular and the length of t...

    Text Solution

    |

  17. Find the vector and cartesan equation of the plane passing through the...

    Text Solution

    |

  18. Find the vector and cartesian forms of the equation of the plane conta...

    Text Solution

    |