Home
Class 12
MATHS
A line AB in three-dimensional space mak...

A line AB in three-dimensional space makes angles `45^(@) " and " 120^(@)` with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle `theta` with the positive z-axis, then `theta` equals

A

`45^(@)`

B

`60^(@)`

C

`75^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos
  • STATISTICS

    AAKASH SERIES|Exercise EXERCISE-5.3|5 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

Similar Questions

Explore conceptually related problems

A strainght line make angle theta with the X-axis then the slope is

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

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

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

Let L be the line of intersection of the planes 2x + 3y + z =1 and x + 3y + 2z =2. If L makes an angle alpha, whith the positive x-axis, then cos alpha equals

If the median AD of DeltaABC , makes an angle theta with AB then sin(A-theta)=

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

AAKASH SERIES-STRAIGHT LINES (3D)-PRACTICE EXERCISE
  1. If the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(13) lies in the plane 5x-y+z ...

    Text Solution

    |

  2. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersect the curve x^(2)+y^(2...

    Text Solution

    |

  3. Equation of the line 2x + z - 4 = 0 = 2y + z in symmetric form is

    Text Solution

    |

  4. Equation of a line passing through (1,-2, 3) and parallel to the plane...

    Text Solution

    |

  5. The line (x-1)/(3)=(y-3)/(k)=(z+1)/(5) is perpendicular to the plane 6...

    Text Solution

    |

  6. The foot of the perpendicular from the point (1,2,3) to the line (x)/(...

    Text Solution

    |

  7. The image of the point (1, 2, 3) in the line (x)/(2)=(y-1)/(3)=(z-1)/(...

    Text Solution

    |

  8. The point of intersection of the lines (x-4)/(1)=(y+3)/(-4)=(z+1)/(4) ...

    Text Solution

    |

  9. The shortest distance· between the two· lines (x- 4) / 1 = (y+ 1) / 2 ...

    Text Solution

    |

  10. The equation of a line through (-2, 3, 4) and parallel to the planes 2...

    Text Solution

    |

  11. A plane which passes through the point (3,2,0) and the line (x-3)/(1)=...

    Text Solution

    |

  12. Distance of the origin from the point of intersection of the line (x)/...

    Text Solution

    |

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

    Text Solution

    |

  14. A line makes the same angle theta, with each of the x and z axis. If t...

    Text Solution

    |

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

    Text Solution

    |

  16. The line passing through the points (5,1,a) and (3,b,1) cross the yz -...

    Text Solution

    |

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

    Text Solution

    |

  18. The shortest distance between the skew lines l(1): barr=bara(1)+lambda...

    Text Solution

    |

  19. A line makes angles alpha,beta,gamma with the coordinate axes. If alp...

    Text Solution

    |

  20. The lines barr= bari- barj +lambda(2 bari+bark) and bar=(2bari-barj) +...

    Text Solution

    |