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

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

Text Solution

Verified by Experts

The correct Answer is:
`=((56)/(17),(43)/(17),(111)/(17))`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Exercise 4A|81 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

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 point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6 from the point (2,-3,-5) is a. (3,-5,-3) b. (4,-7,-9) c. (0,2,-1) d. none of these

Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a distance 4sqrt(14) from the point (1,-1,0)dot

Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a distance 4sqrt(14) from the point (1,-1,0)dot

Find the coordinates of the points on z-axis which are at a distance sqrt(29) unit from the point ( 2 , - 3 , - 1) .

Find the coordinates of the points on y - axis which are at a distance sqrt(41) unit from the point ( 3 , 2 , -4) .

The point in which the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) meets the plane x-2y+z=20 is __

The coordinates of a point on the line x + y + 1 = 0 which is at a distance sqrt(2) units from the line 3x + 4y - 2 = 0 are

Find the points on the z-axis which are at a distance of sqrt(29) unit from the point ( 2, -3 , -2) .

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

CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Sample Questions for Competitive Examination
  1. Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distanc...

    Text Solution

    |

  2. The symmetrical from of the lines x+y+z-1=0 and 4x+y-2z+2=0 are -

    Text Solution

    |

  3. The equation of line passing through the point vec(a) parallel to the ...

    Text Solution

    |

  4. The lines vec(r)=hat(i)+hat(j)-hat(k)+lamda(3hat(i)-hat(j)) and vec(r)...

    Text Solution

    |

  5. Consider the lines (x-5)/(3)=(y-7)/(-16)=(z-3)/(7) and (x-9)/(3)=(y-13...

    Text Solution

    |

  6. The distance of the point A(veca) from the line vec(r)=vec(b)+tvec(c)...

    Text Solution

    |

  7. If the length of the perpendicular drawn from (1,2,3) to the line (x-6...

    Text Solution

    |

  8. If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(...

    Text Solution

    |

  9. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy xy=c^(...

    Text Solution

    |

  10. A line passing through the point (1,1,1) from a tiangle of area sqrt(6...

    Text Solution

    |

  11. The direction cosines of two lines satisfy the relations lamda(l+m)=n ...

    Text Solution

    |

  12. Each question in this section contains statements given in two columns...

    Text Solution

    |

  13. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  14. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  15. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  16. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  17. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  18. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

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

    Text Solution

    |

  20. Statement - I : The lines vec(r)=hat(i)+hat(j)-hat(k)+S(3hat(i)-hat(j)...

    Text Solution

    |