Home
Class 12
MATHS
If alpha, beta, gamma be angles which a ...

If `alpha, beta, gamma` be angles which a straighat line makes with the positive direction of the axes, then `sin^2 alpha+sin^2beta+sin^2gamma` is equal to (A) 4 (B) 1 (C) 2 (D) 3

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.1)|5 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.2)|17 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (C. TRUE/FALSE QUESTIONS)|7 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta , gamma are the angles which a directed line makes with the positive directions of the co-ordinates axes,then sin^(2)alpha+sin^(2)beta+sin^(2)gamma is equal to

If alpha+beta+gamma are the angle which a half ray makes with the positive direction of the axes then sin^2alpha+sin^2beta+sin^2gamma= (A) 1 (B) 2 (C) 0 (D) -1

If a line makes angles alpha,beta,gamma with the positive direction of coordinate axes,then write the value of sin^(2)alpha+sin^(2)beta+sin^(2)gamma

If alpha+beta-gamma=pi , then sin^(2)alpha=sin^(2)beta-sin^(2)gamma is equal to

If alpha,beta,gamma are the angles which a line makes with OX,OY and OZ , then sin^(2)alpha + sin ^(2) beta+ sin^(2) gamma

If a line makes angles alpha , beta ,gamma with coordinate axes , then sin ^2 alpha +sin^2 beta + sin^2 gamma ………

If alpha, beta, gamma are the angles which a line makes with the coordinate axes ,then (A) sin^2alpha=cos^2beta+cos^2gamma (B) cos^2alpha+cos^2beta+cos^2gamma=2 (C) cos^2alpha+cos^2beta+cos^2gamma=1 (D) sin^2alpha+sin^2beta=1+cos^2gamma

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that sin^2alpha+sin^2beta+sin^2gamma=2

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -OBJECTIVE TYPE QUESTIONS (D. VERY SHORT ANSWER TYPE QUESTIONS )
  1. If a line has direction-cosines lt (-9)/(11), (6)/(11), (-2)/(11)gt , ...

    Text Solution

    |

  2. Write the direction-cosines of the line joining the points (1, 0, 0...

    Text Solution

    |

  3. If alpha, beta, gamma be angles which a straighat line makes with the ...

    Text Solution

    |

  4. The ratio in which the line joining the points (a , b , c)a n d\ (-a ,...

    Text Solution

    |

  5. If a line makes angle 90^(@) and 60^(@) respectively with positively d...

    Text Solution

    |

  6. Find the direction-cosines of the line (x - 1)/(2) = - y = (z + 1)/...

    Text Solution

    |

  7. Write the vector equation of the line : (x - 5)/(3) = (y + 4)/(7) = ...

    Text Solution

    |

  8. The cartesian equations of line is : (x - 1)/(2) = (y - 2)/(3) = (z ...

    Text Solution

    |

  9. Find the vector equation of the line which passes through the point (3...

    Text Solution

    |

  10. Find the length of the perpendicular drawn from the point P (3, -4, 5)...

    Text Solution

    |

  11. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

    Text Solution

    |

  12. Find the cartesian equation of the line which passes through the poin...

    Text Solution

    |

  13. Find the acute angle between the plane : vec(r). (hati - 2hatj - 2 h...

    Text Solution

    |

  14. Write the equation of the plane passing through (a , b , c) and parall...

    Text Solution

    |

  15. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

    Text Solution

    |

  16. Find the vector equation of a plane which is at a distance of 5 units...

    Text Solution

    |

  17. Find the vector equations of the plane whose cartesian form of equatio...

    Text Solution

    |

  18. Find the cartesian equation of the plane vec(r). (2 hati + 3 hatj - 4 ...

    Text Solution

    |

  19. What are the direction-cosines of the normal to the plane 3x + 2y - 3z...

    Text Solution

    |

  20. Find the direction-cosines of the perpendicular from the origin to the...

    Text Solution

    |