Home
Class 12
MATHS
A line makes an angle alpha,beta and gam...

A line makes an angle `alpha,beta` and `gamma` with axes repectively, The values of `alpha, beta and gamma` are respectively `theta, 60^@` and `30^@` then `sin theta = .............`

A

1

B

`-2`

C

`0`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Explain alpha beta and gamma rays

A line marks angles alpha, beta and gamma with the coordinate axes. If (alpha+beta)=90^(@) , then find gamma .

Vector vecP angle alpha,beta and gamma with the x,y and z axes respectively. Then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

If a line makes angles alpha,beta and gamma with the positive direction of axes then show that, sin^2alpha+sin^2 beta sin^2 gamma=2

If a vector makes angles alpha, beta and gamma with OX, OY and OZ respectively, prove that sin^(2)alpha+sin^(2)beta+sin^(2)gamma=2 .

If alpha+beta=pi/2 and beta+ gamma = alpha , then find the value of tan alpha .

If cos alpha, cos beta, gamma are direciton cosines then cos 2 alpha + cos 2 beta + cos 2 gamma = ................

If a vector vecP makes an angle alpha, beta, gamma " with " x,y,z axis respectively then it can be represented as vecP=P[cos alphahati+cos beta hatj+ cos gamma hatk] . Choose the correct option(s) :

If a vector vec(A) make angles alpha , beta and gamma , respectively , with the X , Y and Z axes , then sin^(2) alpha + sin^(2) beta + sin^(2) gamma =

A line makes the angle alpha, beta , gamma and delta with the diagonals of a cube. The cos^2 alpha + cos^2 beta + cos^2 gamma + cos^2 delta =.............

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The distance ratio of two lines are (5,-12,13) and (-3,4,5) . Then the...

    Text Solution

    |

  2. If cos alpha, cos beta, gamma are direciton cosines then cos 2 alpha +...

    Text Solution

    |

  3. A line makes an angle alpha,beta and gamma with axes repectively, The ...

    Text Solution

    |

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

    Text Solution

    |

  5. Givne lines are (x-1)/(l) = (y + 1)/(m) = z/n and (x+1)/(m) = (y-3)/...

    Text Solution

    |

  6. The distance of the point P(1,2,3) from the line (x-6)/(3) = (y-7)/(2)...

    Text Solution

    |

  7. The lines x/1 = y/2 = z/3 and (x-1)/(-2) = (y-2)/(-4) = (z-3)/(-6)are ...

    Text Solution

    |

  8. The direction ratios of the line x-y+z-5=0=x-3y-6 are

    Text Solution

    |

  9. The shortest distance the lines (x-3)/(3) = (y-8)/(-1) = (z-3)/(1) and...

    Text Solution

    |

  10. The direction cosines of line satisfy the relations lambda(l+m) = n an...

    Text Solution

    |

  11. The coordinates of a point on the line (x-1)/(2) = (y+1)/(-3) =z at a ...

    Text Solution

    |

  12. The symmetric from of the equation of the line x + y -z = 1 and 2x -3y...

    Text Solution

    |

  13. The direction ratios of there lines are (1,1,2),(3sqrt(3) - 1,sqrt(3) ...

    Text Solution

    |

  14. If the lines (x-2)/(1) = (y-3)/(1) = (4-z)/(lambda) and (x-1)/(lambda)...

    Text Solution

    |

  15. The image of the point (1,6,3) with respect to the line (x)/(1) = (y-1...

    Text Solution

    |

  16. The distance of the point P(-2,3,1) from the line harr(QR) through Q(-...

    Text Solution

    |

  17. If the lines 2x-y+3z + 4 = 0=ax + y-z + 2 and x-3y + z=0 =x + 2y + z +...

    Text Solution

    |

  18. The distance of the plane barr (12,-4,3) = 65 from the origin is ........

    Text Solution

    |

  19. The plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton o...

    Text Solution

    |

  20. The perpendicular distance between the planes 2x-y+ 2z = 1 and 4x - 2y...

    Text Solution

    |