Home
Class 12
MATHS
The points (6,-1,2),(5,2,4) and (8,-7,k)...

The points (6,-1,2),(5,2,4) and (8,-7,k) are collinear, then k =

A

2

B

3

C

-2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

The points (a, 2 a),(-2,6) and (3,1) are collinear then a=

The points (5, 2, 4), (6,-1, 2) and (8, -7, k) are collinear if k is equal to :

If the points (-1,-1,2), (2,m,5) and (3,11,6) are collinear, find the value of m.

If the points (7,-2) , (5,1) and (3,5) are collinear. Find the value of k.

If the points (7, -2) (5, 1) and (3, k) are collinear. Find the value of k. OR Find the area of Rhombus if its vertices are (3, 0) (4, 5) (-2, -1) taken in order.

Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7) are collinear , and find the ratio in which B divides AC.

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Show that the points (1,-1), (5,2), and (9,5) are collinear.

Find the value of k , if the points A(2,3),B(4,k) and C(6,-3) are collinear .

Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear.

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Angle between the lines whose direction ratios are 3,4,5 and 2,2,1 is

    Text Solution

    |

  2. The angle between the lines whose direction ratios are 1,-2,1 and 4,3,...

    Text Solution

    |

  3. The points (6,-1,2),(5,2,4) and (8,-7,k) are collinear, then k =

    Text Solution

    |

  4. The acute angle between the lines whose direction cosines are proporti...

    Text Solution

    |

  5. l=m=n=1 represent direction cosines of

    Text Solution

    |

  6. If a line lies in the octant O X Y Z and it makes equal angles with th...

    Text Solution

    |

  7. The direction cosines of the line joining (4,3,-5) and (-2,1,-8) are

    Text Solution

    |

  8. The coordinates of the point P=(3,4,5), then the direction cosines of ...

    Text Solution

    |

  9. A vector vec ris inclined at equal angles to O X, OY and OZ. If the ma...

    Text Solution

    |

  10. The direction cosines of a normal to the yz-plane are

    Text Solution

    |

  11. If (1/3,1/4,k) are the direction cosines of a line then the value of k...

    Text Solution

    |

  12. The direction ratios of vec PQ are 1,2,2 and P(2,-1,4). If |vec PQ| = ...

    Text Solution

    |

  13. If the direction cosines of two lines are proportional to 2,3,-6 and 3...

    Text Solution

    |

  14. A line making anlges 45^(@) and 60^(@) with the positive direction o...

    Text Solution

    |

  15. The distance of the point (4,3,5) from the y-axis is

    Text Solution

    |

  16. The distance of the point A(2,3,4) from z-axis is

    Text Solution

    |

  17. Coordinates of the foot of the perpendicular from the point (3,4,7) on...

    Text Solution

    |

  18. If the points (7,-2) , (5,1) and (3,5) are collinear. Find the value o...

    Text Solution

    |

  19. The points A (4,5,1), B (0,-1,-1), C(3,9,4) and D(-4,4,4) are

    Text Solution

    |

  20. The direction cosines l, m, n of two lines are connected by the relati...

    Text Solution

    |