Home
Class 11
MATHS
A line makes angles 90^(@), 60^(@) , 30^...

A line makes angles `90^(@), 60^(@) , 30^(@)` with the positive direction of X,Y,Z axes respectively. Find its direction cosisnes.

Text Solution

Verified by Experts

The correct Answer is:
`(0,(1)/(2),(sqrt(3))/(2))`
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise EXERCISE - 6 (VERY SHORT QUESTIONS)|11 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise EXERCISE - 6 (LONG ANSWERQUESTIONS)|6 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|1 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

The direction ratios of a line are (-6,2,3) Find its direction cosines.

A straight line through P(3,4) makes an angle of 60^(@) with the positive direction of the X-axis. Find the coordinates of the points with the line whre are 5 units away from P.

A straight line passing through A (-2,1) , makes an angle of 30^(@) with the positive direction of the X-axis. Find the points on the straight line whose distance from A is 4 units.

Find the equation of the straight line which makes and angle 60^(@) with the positive direction of x-axis and the y-intercept cut of by it is 3.

If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

A straight line makes an angle (pi)/3 with positive direction of x-axis measured in anti clock direction and makes positive intercept on y-axis and the line is at a distance of 5 units from origin then its equation is

A straight line passing through (1, 1, 1) makes an angle of 60^(@) with the positive direction of the z-axis, and the cosines of the angles made with the positive directions of y, x-axis are in the ratio sqrt(3):1 . Then the acute angle between the two possible positions of the line is

AAKASH SERIES-DIRECTION COSINES & RATIOS-EXERCISE - 6 (VERY SORT ANSWER QUESTIONS)
  1. A line makes angles 90^(@), 60^(@) , 30^(@) with the positive directio...

    Text Solution

    |

  2. If the d.c's of a line are (1//c,1//c,1c) then find c.

    Text Solution

    |

  3. If the dirction cosines of a line are ((1)/(2) ,0,n) and n lt 0, then ...

    Text Solution

    |

  4. A ray makes angles pi//3, pi//3 with bar(OX) and bar(OY) respectively....

    Text Solution

    |

  5. A straight line is inclined to the axes of x and y at angles of 60^(@)...

    Text Solution

    |

  6. If alpha, beta, gamma are the angles made by a line with the positive ...

    Text Solution

    |

  7. If a line makes angles alpha,beta,lambda with the coordinate axes vec...

    Text Solution

    |

  8. Find the d.c's of a line that makes equal angles with the axes, and fi...

    Text Solution

    |

  9. Find the direction ratios of the line joining the points (3,4,0) and (...

    Text Solution

    |

  10. The direction ratios of a line are (-6,2,3) Find its direction cosines...

    Text Solution

    |

  11. If the direction ratios of a line are (3,4,0) find its direction cosin...

    Text Solution

    |

  12. If P(sqrt(3),1,2sqrt(3)) is a point in space, find direction cosines ...

    Text Solution

    |

  13. Find the direction cosines of the line joining the points (-4,1,7),(2,...

    Text Solution

    |

  14. If P(-2,4,-5) and Q(1,2,3) are two points. Find the direction cosines ...

    Text Solution

    |

  15. Find the conine of the angle between the lines whose direction cosines...

    Text Solution

    |

  16. Find the angle between the lines whose direction ratios are (1,1,2)(sq...

    Text Solution

    |

  17. Show that the lines with direction cosines ((12)/(13),(-3)/(13),(-4)/(...

    Text Solution

    |

  18. Find 'x' if the angle between he lines with direction ratios (x,4,5) a...

    Text Solution

    |

  19. O is the origin, P(2,3,4) and Q(1,k,1) are points such that bar(OP)bot...

    Text Solution

    |

  20. Find the angle between bar(DC) and bar(AB) where A = (3,4,5), B = (4,6...

    Text Solution

    |