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=0 and k=-1`

B

`k=1 or -1`

C

`k=0 or -3`

D

`k=3 or -3`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|7 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

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

The lines (x-2)/1=(y-3)/1=(z-4)/(-k)a n d(x-1)/k=(y-4)/2=(z-5)/1 are coplanar if a. k=1or-1 b. k=0or-3 c. k=3or-3 d. k=0or-1

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

The lines (x-2)/1=(y-3)/2=(z-4)/(-2k) and (x-1)/k=(y-2)/3=(z-6)/1 are coplanar if

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

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

Find the value of [a] if the lines (x-2)/(3)=(y+4)/(2)=(z-1)/(5) & (x+1)/(-2)=(y-1)/(3)=(z-a)/(4) are coplanar (where [] denotes greatest integer function)

Show that the lines (x+3)/(-3) = y - 1 = (z-5)/(5) and (x+1)/(-1) = (y-2)/(2) = (z-5)/(5) are coplanar. Also find their point of intersection.

The complete set of values of alpha for which the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-3)/(2) =(y-5)/(alpha)=(z-7)/(alpha+2) are coplanar is

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is...

    Text Solution

    |

  2. Given planes P1:cy+bz=x P2:az+cx=y P3:bx+ay=z P1, P2 and P3 pass...

    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. The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 i...

    Text Solution

    |

  5. The line which contains all points (x, y, z) which are of the form (x,...

    Text Solution

    |

  6. The position vectors of points of intersection of three planes rcdotn1...

    Text Solution

    |

  7. The equation of the plane which passes through the line of intersect...

    Text Solution

    |

  8. A straight line is given by r=(1+t)i+3tj+(1-t)k, where tinR. If this l...

    Text Solution

    |

  9. The distance of the point (-1, -5, -10) from the point of intersection...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

    Text Solution

    |

  12. The orthogonal projection A' of the point A with position vector (1, 2...

    Text Solution

    |

  13. The equation of the line passing through (1, 1, 1) and perpendicular t...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C...

    Text Solution

    |

  16. The shortest distance of a point (1, 2, -3) from a plane making interc...

    Text Solution

    |

  17. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

    Text Solution

    |

  18. The direction ratios of the line I1 passing through P(1, 3, 4) and per...

    Text Solution

    |

  19. Equation of the plane through three points A, B and C with position ve...

    Text Solution

    |

  20. OABC is a tetrahedron. The position vectors of A, B and C are i, i+j a...

    Text Solution

    |