Home
Class 12
MATHS
The co-ordinate of the point P are (x, y...

The co-ordinate of the point P are (x, y, z) and the direction cosines of the line OP when O is the origin are l, m, n. If OP = r, then

A

`x=l, y=m,z=n`

B

`x=l r, y=mr,z=nr`

C

`l=x r,m=yr, n =zr`

D

`x=l r^(2),y=mr^(2), z=nr^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER MHT-CET 2016

    NIKITA PUBLICATION|Exercise MCQs|50 Videos

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

The direction cosines of the line x = y = z are

If the co-ordinates of the point p are (1,2,2), what are the direction cosines of OP. (Here O is origin).

If P is (-1,1,2) , then direction cosines of line OP are

If P-=(1,2,3) then direction cosines of OP are

If l,m,n are direction cosines of the line then -l,-m,-n can be

The co-ordinates of a point P are (3, 12, 4) with respect to origin O, then the direction cosines of OP are

The coordinates of the point P are (-3,2) . Find the coordinates of the point Q which lies on the line joining P and origin such that OP=OQ.

If l,m,n are the direction cosines of a half line op then the maximum value of l.m.n is

If P-=(3, 4, -12) , then the direction cosines of bar(OP) are

NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If l, m, n are the direction consines of a line, then

    Text Solution

    |

  2. If p hati+q hatj+r hatk is vector along a line, then p, q, r are

    Text Solution

    |

  3. The co-ordinate of the point P are (x, y, z) and the direction cosines...

    Text Solution

    |

  4. Two lines (x-x(i))/(l(i))=(y-y(i))/(m(i))=(z-z(i))/(n(i)), (i=1,2) are...

    Text Solution

    |

  5. If alpha,beta,gamma are the angles which a line makes with OX,OY and O...

    Text Solution

    |

  6. If a line makes angles alpha,beta,gamma with co-ordinate axes, then co...

    Text Solution

    |

  7. If a line makes angles (alpha)/(2), (beta)/(2), (gamma)/(2) with co-o...

    Text Solution

    |

  8. Two lines with direction cosines l(1),m(1),n(1) and l(2), m(2), n(2) a...

    Text Solution

    |

  9. The straight lines whose direction cosines are given by al + bm + cn =...

    Text Solution

    |

  10. If the line vec(OR) makes angles theta(1),theta(2),theta(3) with the ...

    Text Solution

    |

  11. If the line passing through origin makes angles theta(1), theta(2), th...

    Text Solution

    |

  12. If a variable line in two adjacent position has direction cosines l,m,...

    Text Solution

    |

  13. A line makes angles alpha,beta,gammaand deltawith the diagonals of a...

    Text Solution

    |

  14. Find the angle between any two diagonals of a cube.

    Text Solution

    |

  15. A line makes an angle alpha, beta, gamma, delta with the four diagonal...

    Text Solution

    |

  16. If the edges of a rectangular parallelepiped are a,b, c, prove that th...

    Text Solution

    |

  17. If cos alpha=(sqrt(3))/(2), cos gamma=(-1)/(2), then the direction ang...

    Text Solution

    |

  18. If a line makes angles of measure 45^(@) and 60^(@) with the positive ...

    Text Solution

    |

  19. A line makes angles of measures (pi)/(6) and (pi)/(3) with X-and Z-axe...

    Text Solution

    |

  20. If a line is inclined at 60^(@) and 30^(@) with the X-and Y-axes respe...

    Text Solution

    |