Home
Class 12
MATHS
Expression of x+y + z = 1 in the form of...

Expression of x+y + z = 1 in the form of `x cos alpha + y cos beta + z cos gamma = p` is ..........

A

` x + y + z=1`

B

`(x)/(2sqrt(3)) + (y)/(2sqrt(3)) + (x)/(2sqrt(3)) = (1)/(sqrt(3))`

C

`(x)/(sqrt(3)) + (y)/(sqrt(3)) + (z)/(sqrt(3)) = 1`

D

`(x)/(sqrt(3)) + (y)/(sqrt(3)) + (z)/(sqrt(3)) = (1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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

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

cos^(2) alpha +cos^(2) beta +cos^(2) gamma is equal to

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 =.............

alpha is a root of equation ( 2 sin x - cos x ) (1+ cos x)=sin^2 x , beta is a root of the equation 3 cos 2x - 10 cos x +3 =0 and gamma is a root of the equation 1-sin2 x = cos x- sin x : 0 le alpha , beta, gamma , le pi//2 cos alpha + cos beta + cos gamma can be equal to

The direction angles of the line x=4z+3, y=2-3z are alpha, beta and gamma , then cos alpha +cos beta+ cos gamma = ____

If alpha, beta and gamma are angles made by the line with positive direction direction of X-axis, Y-axis and Z-axis respectively, then find the value of cos2alpha+cos2beta+cos2gamma .

y - cos y = x : (y sin y + cos y + x)y' = y

If alpha, beta and gamma are direction cosines of the vector vec(x) then 1+cos2alpha+cos 2beta+cos 2lambda= …………..

If alpha,beta,gamma are the cube roots of p, then for any x,y,z (x alpha + y beta + z gamma)/(x beta + y gamma + z alpha =

alpha is a root of equation ( 2 sin x - cos x ) (1+ cos x)=sin^2 x , beta is a root of the equation 3 cos ^2x - 10 cos x +3 =0 and gamma is a root of the equation 1-sin2 x = cos x- sin x : 0 le alpha , beta, gamma , le pi//2 sin alpha + sin beta + sin gamma can be equal to

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The distance of the plane barr (12,-4,3) = 65 from the origin is ........

    Text Solution

    |

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

    Text Solution

    |

  3. Expression of x+y + z = 1 in the form of x cos alpha + y cos beta + z ...

    Text Solution

    |

  4. The perpendicular distance between the planes x + 2y- 3z = 2 and 2x+4...

    Text Solution

    |

  5. A line (x-3)/(1) = (y-6)/(5) = (z-4)/(4) is in the plane which passes ...

    Text Solution

    |

  6. The perpendicular distance of the point (3,2,1) from the plane 3x+4y-2...

    Text Solution

    |

  7. The point of intersection of the line (x-4)/(2) = (y+3)/(5) = (z-3)/(3...

    Text Solution

    |

  8. The plane 2x + 3y -2sqrt(3)z + 25 = 0 makes an angle.......with X-axis...

    Text Solution

    |

  9. The plane passing the points (1,1,1),(1,-1,1) and (-1,3,-5) contains t...

    Text Solution

    |

  10. The direction of theline passing through the point (-1,2,4) and parall...

    Text Solution

    |

  11. The equation of the plane passing through (1,-4,5) and having normal (...

    Text Solution

    |

  12. The plane x-2y + 3z= 2 makes an angle ... With Y-axis.

    Text Solution

    |

  13. If the foot of perpendicular from origin to the plane is (2,1,0) then ...

    Text Solution

    |

  14. The direction of the line of instersection of the planes 3x-z = 5 and ...

    Text Solution

    |

  15. The perpendicular distance of the plane y-2x + 5 = z from the point (0...

    Text Solution

    |

  16. The equation of the passing through the point (2,-1,3) and perpendicul...

    Text Solution

    |

  17. The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane ...

    Text Solution

    |

  18. The equation of the plane whose X- intercept 4,Y - intercept (-6), Z- ...

    Text Solution

    |

  19. The vector equation of the plane 2x-z+1 = 0 is................

    Text Solution

    |

  20. The angle between the planes bar.r (1,2,-1) = 3 and 2x -y + 2z = 2 is ...

    Text Solution

    |