Home
Class 12
MATHS
Show that no line in space can make angl...

Show that no line in space can make angles `(pi)/(6)` and `(pi)/(4)` with x -axis and y -axis.

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Competitive Thinking|37 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

Find the lines through the point (0,2) making angles (pi)/(3) and (2 pi)/(3) with the x -axis.Also,find the lines parallel to the cutting the y-axis at a distance of 2units below the origin.

If a line makes angle (pi)/3 and (pi)/4 with x-axis and y-axis respectively then the angle made by the line with z-axis, is

IF a unit vector veca makes angles pi/4 and pi/3 with x-axis and y-axis respectively and an acute angle theta with z-axis, then find theta and the (scalar and vector) coponents of veca along the axes.

Find a vector vec r of magnitude 3sqrt(3) units which makes an angle of (pi)/(4) and (pi)/(2) with y and z- axis respectively.

Find a vector vec r of magnitude 3sqrt(2) units which makes an angle of (pi)/(4) and (pi)/(2) with y and z-axis respectively.

If a line makes angles (pi)/(2), (3pi)/(4) and (pi)/(4) with x,y,z axis respectively, then direction cosines of this line are :

Find a vector vec a of magnitude 5sqrt(2) making an angle (pi)/(4) with x -axis,(pi)/(2) with y -axis and an acute angle theta with z -axis

TARGET PUBLICATION-THREE DIMENSIONAL GEOMETRY -Critical Thinking
  1. If a line makes angles alpha,beta,gamma with co-ordinate axes, then co...

    Text Solution

    |

  2. If a line makes angles alpha , beta ,gamma with coordinate axes , th...

    Text Solution

    |

  3. Show that no line in space can make angles (pi)/(6) and (pi)/(4) with ...

    Text Solution

    |

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

    Text Solution

    |

  5. The projections of a line on the co-ordinate axes are 4,6,12. The dire...

    Text Solution

    |

  6. If P(x,y,z) is a point in space at a distance r from the origin O, the...

    Text Solution

    |

  7. A line AB is inclined to OX at 45^(@) and to OY at 60^(@) and let P be...

    Text Solution

    |

  8. The vector of magnitude 6 which is equally inclined to the co-ordinate...

    Text Solution

    |

  9. If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then fin...

    Text Solution

    |

  10. Line with direction ratios 1, 1, 1 is

    Text Solution

    |

  11. The angle made by the vector 3hati-4hatj+5hatk with the Z-axis is

    Text Solution

    |

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

    Text Solution

    |

  13. If first two numbers of the direction cosines of a line joining points...

    Text Solution

    |

  14. If the points (2,a,-1),(3,4,b)and(1,-2,3) are collinear, the values of...

    Text Solution

    |

  15. If (1,a,1),(3,-1,2)and(1,a^(2),1) are collinear, then the values of a ...

    Text Solution

    |

  16. Points (-2, 4, 7), (3, -6 -8) and (1, -2, -2) are

    Text Solution

    |

  17. If the angle between the lines whose direction cosines are a,(-2)/(3),...

    Text Solution

    |

  18. The acute angle between the lines having direction ratios 5,4,1 and -3...

    Text Solution

    |

  19. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

    Text Solution

    |

  20. Let theta be the angle between the lines AB and AC, where A, B and C a...

    Text Solution

    |