Home
Class 12
MATHS
The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k)...

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

A

`k=1 or -1`

B

`k=0or-3`

C

`k=3or-3`

D

`k=0or-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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 (A) exactly two values (B) exactly thre values (C) any value (D) exactly one value

The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(z)/(-1) and (x-k)/(2k)=(y-k)/(3k-1)=(z-2)/(k) are coplanar, is

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  2. The two lines x=ay+b, z=cy+d and x= a' y+ b', z= c' y +d' will be perp...

    Text Solution

    |

  3. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  4. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

    Text Solution

    |

  5. A line line makes the same angle theta with each of the x and z-axes....

    Text Solution

    |

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

    Text Solution

    |

  7. A line with direction cosines proportional to 2,1,2 meet each of the l...

    Text Solution

    |

  8. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

  9. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

    Text Solution

    |

  10. If the angle theta between the line (x+1)/(1)=(y-1)/(2)=(z-2)/(2) and ...

    Text Solution

    |

  11. The distance between the line vecr = 2i - 2j + 3k + lamda(i - j + 4k)...

    Text Solution

    |

  12. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

    Text Solution

    |

  13. then image of the point (-1,3,4) in the plane x-2y=0

    Text Solution

    |

  14. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

    Text Solution

    |

  15. If a line makes an angle of pi/4 with the positive directions of ea...

    Text Solution

    |

  16. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

    Text Solution

    |

  17. The line passing through the points (5,1,a) and (3,b,1) crosses the y...

    Text Solution

    |

  18. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

    Text Solution

    |

  19. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  20. The projections of a vector on the three coordinate axis are 6, 3 ,...

    Text Solution

    |