Home
Class 12
MATHS
Find the equation of the straight line t...

Find the equation of the straight line through the point (1,-3,2) and perpendicular to the lines `(x-1)/(1)=(y-2)/(2)=(z-3)/(3)` and `(x-1)/(-3)=(y-2)/(2)=(z-1)/(5)`.

Text Solution

Verified by Experts

The correct Answer is:
`(x-1)/(2)=(y+3)/(-7)=(z-2)/(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

  • 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 equation of the straight line passing through the point (-1,3,-2) and perpendicular to the linese (x-3)/(7)=(y)/(3)=(z-1)/(2) and (x-1)/(2)=(1-y)/(-2)=(z-3)/(7)

Find the vector and cartesian equation of the line passing through the point (2,1,3) and perpendicular to the lines. (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x)/(-2)=(y)/(2)=(z)/(5)

Find the equation of the straight line passing through the point (2,3,-1) and is perpendicular to the lines (x-2)/(2)=(y+1)/(1)=(z-3)/(-3) and (x-3)/(1)=(y+2)/(1)=(z-1)/(-1) .

Find the equations of the straight line passing through the point (2, 3, -1) and is perpendicular to the lines : (x-2)/2=(y+1)/1=(z-3)/3 and (x-3)/1=(y+2)/1=(z-1)/1 .

Find the equation of a line passing through the point P(2,-1,-3) and perpendicular to the lines (x-1)/(2)=(y-1)/(-2)=(z+1)/(1) and (x-2)/(1)=(y+1)/(2)=(z+3)/(2)

Find the equations of the straight line passing through the point (-1, 3, -2) and is perpendicular to the lines : (x-3)/7=(y)/3=(z-1)/2 and (x-1)/2=(1-y)/z=(z-3)/7 .

Find the equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z=5.

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

Find the equations of the plane through the points (1,0,-1), (3,2,2) and parallel to the line (x-1)/1=(y-1)/-2=(z-2)/3

Find the equation of the plane through the point (1,1,1) and perpendicular to the plane x-2y+z=3,4x+3y-z=5 .

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. Find the vector equation of the plane through the intersection of the ...

    Text Solution

    |

  2. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  3. Find the equation of the straight line through the point (1,-3,2) and ...

    Text Solution

    |

  4. Find the equation of the straight line passing through the point (2,3,...

    Text Solution

    |

  5. Find the shortest distance between the line vec(r)=hat(i)-7hat(j)-2hat...

    Text Solution

    |

  6. Find the equation of the plane through the point (1,1,1), parallel to ...

    Text Solution

    |

  7. Find the distance between the point with position vector -hat(i)-5hat(...

    Text Solution

    |

  8. Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z ...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the foot of perpendicular drawn from origin to the plane 2x+3y+4z...

    Text Solution

    |

  11. Find the vector equation of the line passing through (1, 2, 3) and per...

    Text Solution

    |

  12. Find the equation of the plane passing through (a, b, c) and parallel ...

    Text Solution

    |

  13. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  14. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  15. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  16. Find the equation of the plane through the points (0,-1,0),(2,1,-1) an...

    Text Solution

    |

  17. Find the equation of the plane passing through the points (0,-1,0),(1,...

    Text Solution

    |

  18. Find the equation of the plane passing through the points (2,2,1), (9,...

    Text Solution

    |

  19. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

    Text Solution

    |

  20. Find the shortest distance between the lines vec(r)=hat(i)+hat(j)+la...

    Text Solution

    |