Home
Class 12
MATHS
If a line in the space makes angle alpha...

If a line in the space makes angle `alpha,beta` and `gamma` with the coordinates axes, then `cos^2alpha+cos^2beta+cos^2gamma` is equal to a)1 b)2 c)0 d)3

A

1

B

2

C

0

D

3

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|106 Videos
  • VECTOR ALGEBRA

    MAXIMUM PUBLICATION|Exercise EXAMPLE|107 Videos

Similar Questions

Explore conceptually related problems

If a line makes angles alpha ,beta , gamma with the co-ordinates axes, then cos 2alpha +cos 2beta +cos 2gamma is :

A line makes acute angles of alpha, beta and gamma with the co-ordinae axes such that cos alpha cos beta = cos beta cos gamma = (2)/(9) and cos gamma cos alpha = (4)/(9), then cos alpha + cos beta + cos gamma is equal to : a) (25)/(9) b) (5)/(9) c) (5)/(3) d) (2)/(3)

If a straight line makes angles alpha,beta,gamma with the coordinate axes, then (1-"tan"^(2)alpha)/(1+"tan"^(2)alpha)+1/("sec"2beta)-2"sin"^(2)gamma is equal to

If a line makes alpha,beta,gamma with x,y,z axis respectively, then prove that sin^2alpha+sin^2beta+sin^2gamma=2

If alpha and beta are the roots of x ^(2) - ax + b ^(2) = 0, then alpha ^(2) + beta ^(2) is equal to

Suppose alpha, beta, gamma are the angles made a line with the three axes respectively. Fill in the blank by choosing the correct answer from the barcket cos^2alpha+cos^2beta+cos^2gamma = ….. (2,0,1,3)

If alpha, beta, gamma in [0, pi]"and if" alpha, beta, gamma are in AP, then (sin alpha - sin gamma)/(cos gamma - cos alpha) is equal to

MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Show that the line barr=i+j+lambda(2i+j+4k) is parallel to the plane b...

    Text Solution

    |

  2. Find the distance between the line barr=i+j+lambda(2i+j+4k) and the pl...

    Text Solution

    |

  3. If a line in the space makes angle alpha,beta and gamma with the coord...

    Text Solution

    |

  4. The direction ratios of the line (x-6)/1=(2-y)/2=(z-2)/2are a)6,-2,-2 ...

    Text Solution

    |

  5. If the vector equation of a line is barr=i+j+k+mu(2i-3j-4k) , then t...

    Text Solution

    |

  6. If the Cartesian equation of a plane is x+y+z=12 , then the vector equ...

    Text Solution

    |

  7. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

    Text Solution

    |

  8. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

    Text Solution

    |

  9. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

    Text Solution

    |

  10. Consider the line barr=(2i-j+k)+lambda(i+2j+3k). Find the Cartesian eq...

    Text Solution

    |

  11. Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Find the vector equa...

    Text Solution

    |

  12. Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Write two points on ...

    Text Solution

    |

  13. Find the equation of the plane through the point (1,2,3) and perpendic...

    Text Solution

    |

  14. Find the distance between the planes x-2y+2z-8=0 and 6y-3x-6z=57

    Text Solution

    |

  15. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 Find...

    Text Solution

    |

  16. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 F...

    Text Solution

    |

  17. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 F...

    Text Solution

    |

  18. From the following figure Find vec(AB)

    Text Solution

    |

  19. From the following figure Find the vector equation of line L.

    Text Solution

    |

  20. From the following figure Find a point on line L other than C.

    Text Solution

    |