Home
Class 12
MATHS
Find the image of the point (2,-1,5) in ...

Find the image of the point (2,-1,5) in the line `(x-11)/(10)=(y+2)/(-4)=(z+8)/(-11)`. Also find the equation of the line joining the given point and its. Also the length of that line segment .

Text Solution

Verified by Experts

The correct Answer is:
`(0,5,1);(x-2)/(1)=(y+1)/(-3)=(z-5)/(25);2sqrt(4)`
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 image of the point (2,0,1) in the line (x-3)/(1)=(y+2)/(-2)=(z-3)/(5)

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

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

Find the image of point (3, -1, 2) in a line (x+1)/3=(y-3)/4=(z+2)/5

Find the image of point (3,-1,2) in line (x+1)/(3)=(y-3)/(4)=(z+2)/(5)

Find the image of point (0, 3, 7) in the line (x-4)/3=(y+3)/2=(z-6)/-1

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

Find the image of point (5, 1, 0) in the line x-1/2=y-3/-1=z-4/3

Find the image of point (3, - 1 , 2) in the line x+1/3=y-3/4=z+2/5

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

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VIII) Long Answer Type Questions
  1. Find the length and foot of perpendicular drawn from the point (2,-1,3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Find the distance of the point (-2,3,-4) from the line. (x+2)/(3)=(2...

    Text Solution

    |

  20. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

    Text Solution

    |