Home
Class 12
MATHS
The direction cosines of the line passin...

The direction cosines of the line passing through P(2,3,-1) and the origin are

A

`2/sqrt14,3/sqrt14,1/sqrt14`

B

`2/sqrt14,-3/sqrt14,1/sqrt14`

C

`-2/sqrt14,-3/sqrt14,1/sqrt14`

D

`2/sqrt14,-3/sqrt14,-1/sqrt14`

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

Find the direction cosines of the line passing through the points P(2,3,5) and Q(-1,2,4)

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

Find the direction cosines of a line, passing through origin and lying in the first octant, making equal angles with the three coordinate axes.

Find the equation of the line passing through (2, 3) & (4, -5)

If the direction cosines of a line are k,k,k then

The equation of the plane passing through (1,-1,1) and through the line of intersection of the planes, x+2 y-3 z+1=0 and 3 x-2 y+4 z+3=0 is

Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1, -1) and parallel to PS is :

Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1, -1) and parallel to PS is :

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. XOZ plane divides the join of (2,3,1) and (6,7,1) in the ratio

    Text Solution

    |

  2. The point collinear with (1,-2,-3) and (2,0,0) among the following is

    Text Solution

    |

  3. The direction cosines of the line passing through P(2,3,-1) and the or...

    Text Solution

    |

  4. If OA is equally inclined to OX, OY and OZ and if A is sqrt3 units fro...

    Text Solution

    |

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

    Text Solution

    |

  6. The equation of the right bisector plane of the segment joining (2,3,...

    Text Solution

    |

  7. A line makes acute alpha, beta and gamma with the coordinate axes such...

    Text Solution

    |

  8. If the direction ratios of two lines are (5,-12,13) and (-3,4,5) then ...

    Text Solution

    |

  9. Verify that the points ( 0,7,10 ) , ( -1,6,6) and ( -4,9, 6) are the ...

    Text Solution

    |

  10. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  11. A line which makes angle 60^(o) with y -axis and z-axis, then the angl...

    Text Solution

    |

  12. The points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) are vertices of a:

    Text Solution

    |

  13. The line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) is parallel to the plane

    Text Solution

    |

  14. The point equidistant from (a, 0, 0), (0, a, 0), (0, 0, a) and (0, 0, ...

    Text Solution

    |

  15. The line joining the points (3,5,-7) and (-2,1,8) meets the yz -plane ...

    Text Solution

    |

  16. If the coordinates of the vertices of a triangle ABC be A(-1,3,2), B(2...

    Text Solution

    |

  17. The equation of the plane in which the lines (x-5)/4 = (y-7)/4 = (z+3)...

    Text Solution

    |

  18. If P be the point (2,6,3) then the equation of the plane through P at ...

    Text Solution

    |

  19. The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the t...

    Text Solution

    |

  20. The intercepts of the plane 5x-3y+6z = 60 on the co-ordinate axes are

    Text Solution

    |