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

A line makes an angle `alpha, beta, gamma, delta` with the four diagonals of a cube, then `sin^(2)alpha+sin^(2)beta+sin^(2)gamma+sin^(2)delta=`

A

2

B

`4/3`

C

`8/3`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise PREVIOUS YEAR MHT-CET EXAM QUESTIONS|3 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,8|16 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos
  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos
  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

Similar Questions

Explore conceptually related problems

If line makes angle alpha, beta, gamma, delta with four diagonals of a cube, then the value of sin^2alpha+sin^2beta+sin^2gamma+sin^2delta is (A) 4/ (B) 1 (C) 8/3 (D) 7/3

If a line makes angles alpha,beta,gamma,delta with the body diagonals of a cubes then the value of 9(sin^(2)alpha+sin^(2)beta+sin^(2)gamma+sin^(2)delta)^(2), is

A line makes angles alpha,beta,gamma and delta with the diagonals of a cube.Show that cos^(2)alpha+cos^(2)beta+cos^(2)gamma+cos^(2)delta=4/3

A line makes angles alpha,beta,gamma and with the diagonals of a cube,prove that cos^(2)alpha+cos^(2)beta+cos^(2)gamma+cos^(2)delta=(4)/(3)

If a line makes angle alpha, beta and gamma with the axes respectively then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

MARVEL PUBLICATION-PLANE IN SPACE -PART B: MASTERING THE BEST ON LINE AND PLANE IN SPACE
  1. The straight lines, whose direction cosines are l, m, n which are the ...

    Text Solution

    |

  2. The perpendicular distance of a corner of uni cube from a diagonal not...

    Text Solution

    |

  3. A line makes an angle alpha, beta, gamma, delta with the four diagonal...

    Text Solution

    |

  4. If the centroid of the tetrahedron O-ABC, where A-=(alpha,5,6), B-=(1,...

    Text Solution

    |

  5. The shortest distance between the lines x+a=2y=-12z and x=y+2a=6z-6a i...

    Text Solution

    |

  6. The direction Cosines of two lines at right angles are l(1),m(1),n(1)a...

    Text Solution

    |

  7. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  8. If h, m1, n1 and l2, m2, n2 are D.C.s of the two lines inclined to eac...

    Text Solution

    |

  9. Let vectors bara, barb, barc and bard be such that (baraxxbarb)xx(ba...

    Text Solution

    |

  10. A non zero vector veca is parallel to the kine of intersection of the ...

    Text Solution

    |

  11. Value of k such that the line (x-4)/1 = (y-2)/1 =(z-k)/2 lies in th...

    Text Solution

    |

  12. IF lines (x-1)/(2) =(y+1)/(3) =(z-1)/(4) and x-3 =(y-k) /(2) = z ...

    Text Solution

    |

  13. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

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

    Text Solution

    |

  15. A variable plane at distance of 1 unit from the origin cuts the coordi...

    Text Solution

    |

  16. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=...

    Text Solution

    |

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

    Text Solution

    |