Home
Class 12
MATHS
STATEMENT-1 : The direction ratios of a ...

STATEMENT-1 : The direction ratios of a line joining the points (0, 0, 0) and (x, y, z) must be x, y, z.
and
STATEMENT-2 : If P(x, y, z) is a point is space and `OP=r` then direction cosines of OP are `x/r, y/r, z/r`,.

A

`r/x,r,y,r,z`

B

`rx,ry,rz`

C

`x/r,y/r,z/r`

D

`r cos alpha,r cos beta,r cos gamma `

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

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.

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

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

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

What are the direction ratios of the line determined by the planes x-y+2z=1 and x+y-z=3 ?

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

If a line OP through the origin O makes angles alpha,45^(@)and60^(@) with x, y and z axis respectively then the direction cosines of OP are.

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

MARVEL PUBLICATION-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. A line makes 45^(@) with OX and equal angles with OY and OZ .Then the ...

    Text Solution

    |

  2. What is the angle between the two lines whose direction numbers are (s...

    Text Solution

    |

  3. If the line of the vector bar (r ) = lambda I + 2j - k makes angles a...

    Text Solution

    |

  4. The number of lines which are equally inclined to the axes is :

    Text Solution

    |

  5. The projection of the line segment joining the points A(-1,0,3) and B(...

    Text Solution

    |

  6. Direction Cosines of a normal to the XOY - plane are

    Text Solution

    |

  7. If the direction cosines of a line are 1/c,1/c,1/c rthen (A) c.0 (B) 0...

    Text Solution

    |

  8. A mirror and a source of light are situated at the origin O and at a...

    Text Solution

    |

  9. The direction Cosines of two lines at right angles are l(1),m(1),n(1)a...

    Text Solution

    |

  10. The graph of the equation x^2+y^2=0 in the three dimensional space is ...

    Text Solution

    |

  11. If the line OP of length r makes an angle alpha with the X - axis , an...

    Text Solution

    |

  12. l = m = n = 1 are the direction Cosines of

    Text Solution

    |

  13. STATEMENT-1 : The direction ratios of a line joining the points (0, 0,...

    Text Solution

    |

  14. Co - ordinates of the foot of the perpendicular from the point (a,b,c)...

    Text Solution

    |

  15. In three dimensional space , the equation xy = 0 represents

    Text Solution

    |

  16. In space , the equation 3x-4y=0 represents

    Text Solution

    |

  17. A line lies in ZX plane and makes 60^(@) with x - axis ,then direction...

    Text Solution

    |

  18. The ratio in which XOZ plane divides A(2,-3,1) and B(-1,4,5) is :

    Text Solution

    |

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

    Text Solution

    |

  20. The direction ratios of a line which is perpendicular to the two vect...

    Text Solution

    |