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

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

Text Solution

Verified by Experts

The correct Answer is:
`(-2, -1, 3) or (56/17, 43/17,111/17)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - A|90 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise Illustration|4 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 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)dot

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)

The coordinates of a point on the line (x-1)/(2)=(y+1)/(-3)=z at a distance 4sqrt(14) from the point (1, -1, 0) are

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 that the distance of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane (x-y+z=5) from the point (-1,-5,-10) is

Find the points on z-is which are t a distance sqrt(21) from the point (1,2,3).

Find the image of point (1,2,3) in the line (x-6)/3=(y-7)/2=(z-7)/(-2)dot

Find the equation of the plane containing the line 2x+y+z-1=0, x+2y-z=4 and at a distance of 1/sqrt(6) from the point (2,1,-1).

Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=5 and a t a distance of 1/sqrt6 from the point (2,1,-1).

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Find the equation of the plane passing through the points (1,-1,2)a n ...

    Text Solution

    |

  2. Find the equation of the plane through the points A(3, 2, 0), B(1, 3, ...

    Text Solution

    |

  3. Find equation of the plane through (2, 1, 4), (1, -1, 2) and (4, -1, 1...

    Text Solution

    |

  4. Find the equation of the plane containing the points P(2, 3, -1), Q(6,...

    Text Solution

    |

  5. Find the equation of a plane which meets the axes in A ,Ba n dC , give...

    Text Solution

    |

  6. A variable plane which remains at q constant distance 3p from the orig...

    Text Solution

    |

  7. Find the vector equation of a plane containing line of intersection of...

    Text Solution

    |

  8. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  9. Find an equation for the plane through P(0)=(1, 0, 1) and passing thro...

    Text Solution

    |

  10. Find the equation of the plane containing the line of intersection of ...

    Text Solution

    |

  11. Show that lines (x-2)/5=(y+1)/1=(z-2)/-6 and (x+3)/-8=(y-2)/-1=(z-8)/7...

    Text Solution

    |

  12. Find x such that the four points A\ (3,\ 2,\ 1), B(4, x ,\ 5), C\ (4,...

    Text Solution

    |

  13. Find the angle between the two planes 2x + y-2z = 5and 3x- 6y-2z = 7...

    Text Solution

    |

  14. Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7.

    Text Solution

    |

  15. Find the angle between the line (x-1)/3=(y+1)/2=(z-1)/4 and plane 2x +...

    Text Solution

    |

  16. Find the angle between the line vecr=hati+2hatj-hatk+lamda(hati-hatj+h...

    Text Solution

    |

  17. Find the perpendicular distance from the point P(2, 3, -4) to the plan...

    Text Solution

    |

  18. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

  19. Find the distance of the point (-2, 3, -5) from the line (x+2)/1=(y-3)...

    Text Solution

    |

  20. Find the point on the line (x+2)/3=(y+1\ )/2=(z-3\ )/2 at a distanc...

    Text Solution

    |