Home
Class 12
MATHS
A line passes through the point (6, -7, ...

A line passes through the point `(6, -7, -1) and (2, -3, 1).` The direction cosines of the line so directed that the angle made by it with the positive direction of x-axis is acute, are

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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

A line passes through the point (3, 1,2) and (5,-1,1) , find the direction cosines of the line.

A line passes through the points (6,-7,-1) and (2,-3,1). Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

A line passes through the points (3, 1, 2) and (5, -1, 1) . Then the direction ratios of the line are

If a line passes through the points (6,-7,-1) and (2,-3,1) . Then what are the direction rations of the line

The direction cosines of the line which bisects the angle between positive direction of Y and Z axis are

A straight line passes through the point (1,1,1) makes an angle 60^@ with the positive direction of z- axis, and the cosines of the angles made by it with the positive direction of y-axis and rates are in the ratio sqrt3:1 . What is the acute angle between the iwo posible positions of the line

Find the angle made by the line x+sqrt3y-6=0 with the positive direction of the x-axis.

If the slope of a line is sqrt(3) , the angle made by the line with the positive direction of X-axis is _ _ _ _ _ _

The angle made by the line sqrt(3)x-y+3=0 with the positive direction of X -axis is

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 1( SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. Find the equation of the plane through (3,4,-1) which is parallel to t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  10. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

    Text Solution

    |

  11. A line line makes the same angle theta with each of the x and z-axes....

    Text Solution

    |

  12. A line with direction cosines proportional to 2,1,2 meet each of the l...

    Text Solution

    |

  13. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

  14. The angle between the lines 2x=3y=-z and 6x=-y=-4z is (A) 0^0 (B) 90^0...

    Text Solution

    |

  15. If the angle theta between the line (x+1)/(1)=(y-1)/(2)=(z-2)/(2) and ...

    Text Solution

    |

  16. The distance between the line vecr = 2i - 2j + 3k + lamda(i - j + 4k)...

    Text Solution

    |

  17. then image of the point (-1,3,4) in the plane x-2y=0

    Text Solution

    |

  18. Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=...

    Text Solution

    |

  19. If a line makes an angle of pi/4 with the positive directions of ea...

    Text Solution

    |

  20. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

    Text Solution

    |