Home
Class 12
MATHS
If P(x,y,z) is a point in space at a dis...

If `P(x,y,z)` is a point in space at a distance r from the origin O, then the direction cosines of the line OP are

A

`(r )/(x),(r )/(y),(r )/(z)`

B

`rx,ry,rz`

C

`(x)/(r ),(y)/(r ),(z)/(r )`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2( SINGLE CORRECT ANSWER TYPE QUESTIONS))|30 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|23 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS))|15 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Find the direction cosines of x,y and z -axis.

The direction cosines of the line x-y+2z=5,3x+y+z=6 are

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

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

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

Assertion: The direction ratios of the line joining orign and point (x,y,z) are x,y,z., Reason: If O be the origin and P(x,y,z) is a point in space and OP =r then direction cosines of OP are x/r,y/r,z/r. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 1( SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. A line makes an angle of 60^(@) with each of x and y axis, the angle w...

    Text Solution

    |

  2. The projections of a line segment on x, y and z axes are respectively ...

    Text Solution

    |

  3. If P(x,y,z) is a point in space at a distance r from the origin O, the...

    Text Solution

    |

  4. Let N be the foot of the perpendicular of length p from the origin to ...

    Text Solution

    |

  5. The equation of plane passing throught the point (1 ,2 ,3) and the di...

    Text Solution

    |

  6. If a plane meets the co-ordinate axes in A, B, C such that the centroi...

    Text Solution

    |

  7. Algebraic sum of the intercepts made by the plane x+3y-4z+6=0 on the a...

    Text Solution

    |

  8. An equation of the plane passing through the origin and containing the...

    Text Solution

    |

  9. An equation of the plane passing through the point (1,-1,2) and parall...

    Text Solution

    |

  10. The vector form of the equation of the line 6x - 2 = 3y + 1 = 2z - 2 ...

    Text Solution

    |

  11. Find the vector of a line passing through (2,-1,1) and parallel to the...

    Text Solution

    |

  12. If M denotes the md point of the line segment joining A(4hati+6hatj-10...

    Text Solution

    |

  13. Find the equation of the plane through (3,4,-1) which is parallel to t...

    Text Solution

    |

  14. The ratio in which the plane 2x-1=0 divides the line joining (-2,4,7) ...

    Text Solution

    |

  15. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

    Text Solution

    |

  16. The dr. of normal to the plane through (1,0,0), (0,1,0) which makes an...

    Text Solution

    |

  17. A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-...

    Text Solution

    |

  18. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  19. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

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

    Text Solution

    |