Home
Class 12
MATHS
A line makes an angle theta both with x-...

A line makes an angle `theta` both with x-axis and y-axis. A possible range of `theta` is

A

`[0, (pi)/(4)]`

B

`[0, (pi)/(2)]`

C

`[(pi)/(4), (pi)/(2)]`

D

`[(pi)/(6),(pi)/(3)]`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|36 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

A line makes an angle theta with the x-axis and the y-axis. If it makes an angle alpha with the z - axis such that sin^(2)alpha= 3sin^(2)theta , then cos ^(2)theta is equal to

A line makes the same angle theta with X-axis and Z-axis. If the angle beta , which it makes with Y-axis, is such that sin^2(beta)=3sin^2theta , then the value of cos^2(theta) is

If a line makes angle theta with x - axis and z -axis and beta with y -axis. If sin beta=sqrt(3)sin theta then cos^(3)theta

A line line makes the same angle theta with each of the x and z-axes. If the angle beta , which it makes with y-axis, is such that sin^(2)beta=3sin^(2)theta then cos^(2)theta equals

A line makes the same angle alpha with each of the x and y axes. If the angle theta , which it makes with the z-axis, is such that sin^2theta=2sin^2alpha , then what is the value of alpha ?

A line makes the same angle theta with each of the X - axis and Z - axis.It makes beta angle with Y -axis such that sin^(2) beta=3sin^(2) theta then cos^(2) theta=

If a line makes angle 35^0 and 55^0 with x-axis and y-axis respectively, then the angle with this line makes with z-axis is (A) 35^0 (B) 45^0 (C) 55^0 (D) 90^0

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

    Text Solution

    |

  2. The angle between the lines whose directionn cosines are given by 2l-m...

    Text Solution

    |

  3. A line makes an angle theta both with x-axis and y-axis. A possible ra...

    Text Solution

    |

  4. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

    Text Solution

    |

  5. Find the perpendicular distance of a corner of a unit cube from a dia...

    Text Solution

    |

  6. If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q...

    Text Solution

    |

  7. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

    Text Solution

    |

  8. A parallelepiped is formed by planes drawn parallel to coordinate axes...

    Text Solution

    |

  9. Let bar a,bar b,bar c be three non-coplanar vectors and bar d be a no...

    Text Solution

    |

  10. If alpha(atimesb)+beta(btimesc)+gamma(ctimesa)=0, then

    Text Solution

    |

  11. Let area of faces triangleOAB=lambda1, triangleOAC=lambda2, triangleOB...

    Text Solution

    |

  12. Given four non zero vectors bar a,bar b,bar c and bar d. The vectors ...

    Text Solution

    |

  13. The shortest distance between a diagonal of a unit cube and the edge s...

    Text Solution

    |

  14. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  15. The length of the edge of the regular tetradedron ABCD is 'a'. Points ...

    Text Solution

    |

  16. If the two adjacent sides of two rectangles are represented by vect...

    Text Solution

    |

  17. Let veca,vec b,vec c are three vectors along the adjacent edges ofa t...

    Text Solution

    |

  18. The angle theta between two non-zero vectors a and b satisfies the rel...

    Text Solution

    |

  19. If the angle between the vectors vec(a)=hat(i)+(cos x)hat(j)+hat(k) a...

    Text Solution

    |

  20. If position vectors of the points A, B and C are a, b and c respectiv...

    Text Solution

    |