Home
Class 12
MATHS
If a line makes an angle of pi/4 with th...

If a line makes an angle of `pi/4` with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of z-axis is

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is

Find slope of the line that makes angle (2pi)/3 with the positive direction of x-axis.

Direction casines of z-axis are

Let PM be the perpendicular form the point P(1,2,3) to the x-y plnae. If vec(OP) makes an angletheta with the positive driection of the z-axis and vec(OM) makes an anglephi with the positive direction of x-axis, where O is the origin and thetaandphi are acute angles, then

A line makes angles 45^@ and 60^@ with the positive direction of the axis of x and y makes with the positive direction of z axis, an angle of:

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

If a line makes equal angles with coordinates axes its direction - cosines are.

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

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  2. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  3. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

    Text Solution

    |

  4. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  5. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  6. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |

  7. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

    Text Solution

    |

  8. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  9. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

    Text Solution

    |

  10. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

    Text Solution

    |

  11. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

    Text Solution

    |

  12. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  13. If a line makes an angle of pi/4 with the positive directions of each ...

    Text Solution

    |

  14. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

    Text Solution

    |

  15. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

    Text Solution

    |

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

    Text Solution

    |

  17. If the plane 2ax-3ay+4az+6=0 passes through the mid point of the line ...

    Text Solution

    |

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

    Text Solution

    |

  19. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

    Text Solution

    |

  20. The plane x+2y-z=4 cuts the sphere x^(2)+y^(2)+z^(2)-x+z-2=0 in a circ...

    Text Solution

    |