Home
Class 12
MATHS
Prove that the line joining (1,2,3),(2,1...

Prove that the line joining `(1,2,3),(2,1,-1)` intersects the line joining `(-1,3,1) and (3,1,5)`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos
  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Show taht the line segment joining (7,-6,1)(17,-18,-3) intersect the line segment joining (1,4,-4),(3,-4,11) at (2,0,3).

Show that the join of the points (6,-4,4) and (0,0,-4) intersects the join of (-1,-2,-3) and (1,2,-5).

Write the direction cosines of the line joining (1,2,3) and (1,1,2).

Show that the line joining the points (0,2,-4) and (-1,1-2) and the lines joining the points (-2,3,3) and (-3,-2,1) are co-plannr. Find their point of intersection.

Find equation of a plane through (2,-3,1) and perpendlcular to the line joining the points (3,4,-1) and (2,-1,5) .

Find the direction cosines of the line segment joining (3,6,1) and (4,-1,5).

Find the co-ordinates of the foot of the perpendicular from the point (1,1,1) on the line joining (1,4,6) and (5 4,4) .

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of the bisector of the angles between the following...

    Text Solution

    |

  2. Show that the origin lies in the interior of the acute angle between p...

    Text Solution

    |

  3. Prove that the line joining (1,2,3),(2,1,-1) intersects the line joini...

    Text Solution

    |

  4. Show that the point (-frac{1}{2},2,0) is the circumcentre of the trian...

    Text Solution

    |

  5. Show that plane ax+by+cz+d=0 divides the line segment joining (x1,y1,z...

    Text Solution

    |

  6. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  7. A variable plane passes through a fixed point (a,b,c) and meets the co...

    Text Solution

    |

  8. The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...

    Text Solution

    |

  9. The plane lx+my=0 is rotated about its line of intersection with the p...

    Text Solution

    |

  10. State which of the following statements are true (T) or false(F) The...

    Text Solution

    |

  11. State which of the following statements are true (T) or false(F) The...

    Text Solution

    |

  12. State which of the following statements are true (T) or false(F) The...

    Text Solution

    |

  13. State which of the following statements are true (T) or false(F) The...

    Text Solution

    |

  14. State which of the following statements are true (T) or false(F) The...

    Text Solution

    |

  15. The line (x+2)/(-4)+(y-1)/5=(z-1)/3 and (1-x)/(-4)=(y-0)/5=(2-z)/3 are

    Text Solution

    |

  16. The line passing through (-1,0,1) and perpendicular to the plane x+2y+...

    Text Solution

    |

  17. The line (x+1)/2=(y-6)/1=(z-4)/0 is

    Text Solution

    |

  18. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

    Text Solution

    |

  19. If l,m,n be d.cs, of a line ,then the line is perpendicular to the pla...

    Text Solution

    |

  20. Find the equation of lines joining the points. (4,-6,1) and (0,3,-1)

    Text Solution

    |