Home
Class 12
MATHS
The coordinates of a point P are (3,12,4...

The coordinates of a point P are (3,12,4) w.r.t. the origin O. Then the direction cosines of OP are

A

`3,12,4`

B

`1/4,1/3,1/2`

C

`3/sqrt13,12/sqrt13,4/sqrt13`

D

`3/13,12/13,4/13`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Unit Test|8 Videos

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the image of the origin O w.r.t the line x + y + 1 = 0 are

If O is the origin and the coordinates of P be (1,2,-3) , then find the equation of the plane passing through P and perpendicular to OP.

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q. If O is the origin and the rectangle OPRQ is completed then the locus of R is

Integrate sec^(4)x w.r.t. x.

The foot of the perpendicular drawn from the origin to a plane is (1,2,-3)dot Find the equation of the plane. or If O is the origin and the coordinates of P is (1,2,-3), then find the equation of the plane passing through P and perpendicular to O Pdot

Projection of a line on axis are −3,4,−12 . Find length of line segment and direction cosines.

Let A B be chord of contact of the point (5,-5) w.r.t the circle x^2+y^2=5 . Then find the locus of the orthocentre of the triangle P A B , where P is any point moving on the circle.

If a line has the direction ratios -18,12,-4 , then what are its direction cosines ?

Integrate x^(4)logx w.r.t. x.

Locus of the point P, for which vec(OP) represents a vector with direction cosine cos alpha = (1)/(2) (where O is the origin) is

NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Objective
  1. A line makes angles of 45^@ and 60^@ with the z-axis and the x-axis re...

    Text Solution

    |

  2. If direction cosines of a line are (1)/(c),(1)/(c),(1)/(c)," then. "

    Text Solution

    |

  3. The coordinates of a point P are (3,12,4) w.r.t. the origin O. Then th...

    Text Solution

    |

  4. The direction cosines of a line that makes equal angles with the three...

    Text Solution

    |

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

    Text Solution

    |

  6. The direction cosines of a straight line, whose projections on the coo...

    Text Solution

    |

  7. The vector equation of the straight line (1-x)/3 =(y+1)/(-2) =(3-z)/(-...

    Text Solution

    |

  8. The line (x-x1)/0=(y-y1)/1=(z-z1)/2 is

    Text Solution

    |

  9. A unit vector parallel to the straight line (x-2)/3=(3+y)/(-1) = (z-2)...

    Text Solution

    |

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

    Text Solution

    |

  11. If the vector equation of a line (x-2)/2=(2y-5)/(-3) =z+1 is vecr=2hat...

    Text Solution

    |

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

    Text Solution

    |

  13. The equation of the line joining the points (-3,4,11) and (1,-2,7) is

    Text Solution

    |

  14. The vector equation of the line 6x-3=3y+4=2z-2 is

    Text Solution

    |

  15. The angle between the staight lines (x+1)/2=(y-2)/5=(z+3)/4 and (x-1)/...

    Text Solution

    |

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

    Text Solution

    |

  17. A line makes angles alpha,beta,gamma with the coordinates axes . If al...

    Text Solution

    |

  18. The angle between the lines x=1,y=2 and y=-1 ,z=0 is

    Text Solution

    |

  19. The distance between the lines vecr=veca1+tvecb and vecr=veca2+svecb i...

    Text Solution

    |

  20. The vector equation of a plane which is at a distance of 6/sqrt29 from...

    Text Solution

    |