Home
Class 12
MATHS
If a line makes angle of 90^0, 60^0"and\...

If a line makes angle of `90^0, 60^0"and\ "30^0` with the positive direction of `"x","\ y"` and z-axis respectively, find its direction cosines.

Text Solution

Verified by Experts

The correct Answer is:
`l =0 , m=(-1)/2, n=(-sqrt(3))/2`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - A|90 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise Illustration|4 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

If a line makes angle 90^o , 60^o and 30^o with the positive direction of x, y and z-axis respectively, find its direction cosines.

If a line makes angle 90^@ , 60^@ and 30^@ with the positive direction of x, y and z-axis respectively, find its direction cosines.

If a line makes angle 90o , 60o and 30o with the positive direction of x, y and z-axis respectively, find its direction cosines.

If a line makes angle 90o , 60o and 30o with the positive direction of x, y and z-axis respectively, find its direction cosines.

A line makes 30^(@), 120^(@) and 90^(@) angles from the positive direction of x-axis, y-axis and pi -axis respectively. Find its direction cosines.

If O be the origin and OP makes an angle of 45^0 and 60^0 with the positive direction of x and y axes respectively and OP=12 units, find the coordinates of P.

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

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

If a, b, c are the angles that a line makes with the positive directions of x, y and z axis, respectively, then the direction cosines of the lines are

A line making angles 45^0 and 60^0 with the positive directions of the x and y axes respectively , makes with the positive direction of z-axis an angle of (A) 60^0 (B) 120^0 (C) 60^0 or 120^0 (D) none of these

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. The mid-points of the sides of a triangle ABC are given by A(0, 0, 0),...

    Text Solution

    |

  2. If P has coordinates (5, 4, -9). What is length OP and it's direction ...

    Text Solution

    |

  3. If a line makes angle of 90^0, 60^0"and\ "30^0 with the positive di...

    Text Solution

    |

  4. What are the direction cosines of Y-axis?

    Text Solution

    |

  5. Find the direction cosine of a line passing through origin and the poi...

    Text Solution

    |

  6. Find the direction cosines of the line passing through (0, 1, -2) and ...

    Text Solution

    |

  7. Find the direction ratios and the direction cosines of the vector vecr...

    Text Solution

    |

  8. Show that the points P" "(2," "3," "5) , Q" "(1," "2," "3) and R (7," ...

    Text Solution

    |

  9. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  10. Find the vector equation of a line through the point (-3, 2, -4) and i...

    Text Solution

    |

  11. Find the vector equation of a line passing through origin and is paral...

    Text Solution

    |

  12. Find the equation of line which passes through a point (-1, 2, 3) and ...

    Text Solution

    |

  13. Find the equation of line which passes through a point where line give...

    Text Solution

    |

  14. Find the equation of the line in vector form passing through the point...

    Text Solution

    |

  15. Find the equation of the line in vector form passing through the point...

    Text Solution

    |

  16. Find the equation of line through the points P(1, 2, 3) and Q(3, 4, 5)...

    Text Solution

    |

  17. Find the equation of line through the origin and a point where line (x...

    Text Solution

    |

  18. Find the angle between the lines given by vecr=(2hati+3hatj+4hatk)-l...

    Text Solution

    |

  19. Find the angle between the lines vecr = (hati+hatj)+lambda (hati+hat...

    Text Solution

    |

  20. Find the angle between the pair of lines (x-1)/2=(y-3)/4=(z+2)/6 and...

    Text Solution

    |