Home
Class 12
MATHS
The direction cosines of a line parallel...

The direction cosines of a line parallel to the line `(x+1)/(2)=(y)/(-3)=(z-5)/(6)` are

A

`1, (-3)/(2), 3`

B

`(-2)/(3), 1, -2`

C

`(1)/(3), (-1)/(2), 1`

D

`(2)/(7), (-3)/(7), (6)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

(A) find the equation of a line parallel to x-axis and passing through the origin. (b) Find the direction-cosines of a line parallel to the line : (2x - 5)/(4) = (y + 4)/(3) = (6 - z)/(6) . (c) Write the direction-cosines of a line parallel to the line : (3 - x)/(3) = (y + 2)/(-2) = (z + 2)/(6) .

Write the direction cosines of a line parallel to Z-axis.

Write the equations of a line parallel to the line (x-2)/(-3) =(y+3)/(2) =(z+5)/(6) and passing through the point (1,-2,3)

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

Find the vector equation of the line parallel to the line : (x -1)/(5) = (3 -y)/(2) = (z + 1)/(4)

Find the directions ratios of the line perpendicular to the lines (x-7)/(2) = ( y+ 7)/(-3) =(z-6)/(1) and (x+5)/(1) = (y+3)/(2)= (z-6)/(-2)

Direction cosines to the normal to the plane containing the lines (x)/(2)=(y)/(3)=(z)/(5) and (x-1)/(2)=(y-1)/(3)=(z-1)/(5) are

Find the equation of the line parallel to line (x-3)/(4)=(y+1)/(-1)=(z-7)/(5) and passing through the point (2,3,-2)

Find the direction-cosines of the line (x - 1)/(2) = - y = (z + 1)/(2)

NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If the vector 2 hati-3hatj+7 hatk makes angles alpha, beta, gamma with...

    Text Solution

    |

  2. The position vectors of points A and B are hati+3hatj-7 hatk and 5hati...

    Text Solution

    |

  3. The direction cosines of a line parallel to the line (x+1)/(2)=(y)/(-...

    Text Solution

    |

  4. The line joining the points -2,1,-8)a n d(a ,b ,c) is parallel to t...

    Text Solution

    |

  5. If the line segment joining the points A(7, p, 2) and B(q, -2, 5) be ...

    Text Solution

    |

  6. The line joining the points (4, 1, 2) and (5, p, 0) is parallel to the...

    Text Solution

    |

  7. If A(-1, 2, -3), B(5, 0, -6) and C(0, 4, -1) are the vertices of tria...

    Text Solution

    |

  8. A line passes through the points (3, 1, 2) and (5, -1, 1) . Then the ...

    Text Solution

    |

  9. A line passes through the point (3, 1,2) and (5,-1,1), find the direct...

    Text Solution

    |

  10. Direction cosines of the line passing through the points A(-4, 2, 3) a...

    Text Solution

    |

  11. Direction cosines of the line passing through the points A(-4, 2, 3) a...

    Text Solution

    |

  12. If a line has the direction ratios 4, -12, 18, then its direction cos...

    Text Solution

    |

  13. If a line has the direction ratios -1, 2, 3, then its direction cosin...

    Text Solution

    |

  14. The direction cosines of a line whose direction ratios are 1, -2, 3 ar...

    Text Solution

    |

  15. If |bar r|=9 and bar r is equally inclined to the co-ordinate axes, th...

    Text Solution

    |

  16. If |baru|=3 and baru is equally inclined to the unit vectors hati, hat...

    Text Solution

    |

  17. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

    Text Solution

    |

  18. If vector r wiith dc's l,m,n is equally inclined to the coordinate axe...

    Text Solution

    |

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

    Text Solution

    |

  20. The direction ratios of AB are -2,2,1. If A -= (4,1,5) and l(AB) = 6 u...

    Text Solution

    |