Home
Class 12
MATHS
If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4...

If the line `(x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/(1)` intersect, then `k` is equal to

A

-1

B

`2/9`

C

`9/2`

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos
  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and (x-a)/(-1)=(y-7)/(2)=(z+2)/(-3) intersect, is

If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3)/(k)=(z-1)/(2) intersect at a point, then the integer k is equal to

The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)/(1) are coplanar, if

If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (x+1)/(5)=(y+1)/(2)=(z)/(k) are coplanar, then the plane(s) containing these two lines is/are

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-1)/(1)=(z-6)/(-5) are perpendicular, find the value of k.

If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 are coplanar then k can have

Given lines (x-4)/(2)=(y+5)/(4)=(z-1)/(-3) and (x-2)/(1)=(y+1)/(3)=(z)/(2) Statement-I The lines intersect. Statement-II They are not parallel.

Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z intersect each other . Find also the point of intersection.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  2. The distance of the point (1,-5, 9) fromthe plane x-y+z=5, measured al...

    Text Solution

    |

  3. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  4. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

  5. The equation of the plane passing through the line of intersection of ...

    Text Solution

    |

  6. The point P is the intersection of the straight line joining the point...

    Text Solution

    |

  7. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

    Text Solution

    |

  8. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  9. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

    Text Solution

    |

  10. The angle between the lines whose direction cosines satisfy the equa...

    Text Solution

    |

  11. The distance of the point (1,0,2) from the poitn of intersection of th...

    Text Solution

    |

  12. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  13. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  14. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  15. If a line has direction ratios <2,-1,-2>, then what are its direction ...

    Text Solution

    |

  16. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

    Text Solution

    |

  17. Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in t...

    Text Solution

    |

  18. Find the area of the triangle whose vertices are : A(1,2,3), B(2,-1,4)...

    Text Solution

    |

  19. Find the equations of the straight line passing through the point (2,...

    Text Solution

    |

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

    Text Solution

    |