Home
Class 12
MATHS
A line makes angles alpha,beta,gammaa n ...

A line makes angles `alpha,beta,gammaa n ddelta` with the diagonals of a cube. Show that `cos^2alpha+cos^2beta+cos^2gamma+cos^2delta=4//3.`

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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 angles alpha, beta, gamma, delta with the diafonals of a cubes then the value of 9(cos 2alpha + cos 2beta + cos2gamma + cos 2delta)^(2) equals ….......

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that cos2alpha + cos 2beta + cos2gamma + 1 = 0 .

If a line makes angles alpha,beta and gamma with the coordinate axes,then prove that cos2 alpha+cos2 beta+cos2 gamma=-1

If a line makes angle alpha, beta and gamma with the coordinate axes respectively, then cos2alpha+cos 2 beta+cos 2gamma=

RESONANCE-TEST PAPERS-MATHEMATICS
  1. A plane P(1) passing through A(1,2,3), B(3,1,5) and C(-1,0,1) is rotat...

    Text Solution

    |

  2. A plane P(1) passing through A(1,2,3), B(3,1,5) and C(-1,0,1) is rotat...

    Text Solution

    |

  3. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

    Text Solution

    |

  4. The plane x-y-z=2 is rotated through 90^(@) about its line of intersec...

    Text Solution

    |

  5. The volume of a tetrahedron having vertices A(1,1,1),B(1,2,4),C(3,1,-2...

    Text Solution

    |

  6. The number of integral values of a in [0,10) so that function, f(x)=x^...

    Text Solution

    |

  7. A boy has 3 library tickets and 8 books of his interest in the library...

    Text Solution

    |

  8. If the normal to the ellipse (x^(2))/9+(y^(2))/4=1 which is farthest f...

    Text Solution

    |

  9. Find the area of the greatest isosceles triangle that can be inscri...

    Text Solution

    |

  10. If the range of the function y=(x-1)/(x+1) on the interval 0lexle4 be ...

    Text Solution

    |

  11. Two smallest squares are chose at random on a chess board and p/q is t...

    Text Solution

    |

  12. There are four bags. The first bag contains 10 identical red balls, th...

    Text Solution

    |

  13. When two dice are thrown n number of times, the probabililty of gettin...

    Text Solution

    |

  14. Let ngeq2 be integer. Take n distinct points on a circle and join each...

    Text Solution

    |

  15. if veca and vecb non-zero ad non-collinear vectors, then

    Text Solution

    |

  16. The number of ways of choosing triplet (x , y ,z) such that zgeqmax{x,...

    Text Solution

    |

  17. The number of isosceles Deltas with integer sides if no side exeeds 20...

    Text Solution

    |

  18. if E(1) and E(2) are two events such that P(E(1))=(1)/(4),P((E(2))/(E(...

    Text Solution

    |

  19. Consider the quadratic equation az^(2)+bz+c=0 where a,b,c are non-zero...

    Text Solution

    |

  20. Consider the quadratic equation az^(2)+bz+c=0 where a,b,c are non-zero...

    Text Solution

    |