Home
Class 12
MATHS
Let L be the line of intersection of ...

Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha `with the positive x-axis, then cos` alpha ` equals `1/(sqrt(3))` `1/2` 1 `1/(sqrt(2))`

A

`1`

B

`1/sqrt2`

C

`1/sqrt3`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN AND POLAR COORDINATE SYSTEM

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|26 Videos
  • CO-ORDINATE GEOMETRY OF TWO DIMENSIONS (CONIC SECTION)

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|110 Videos

Similar Questions

Explore conceptually related problems

Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2. If L makes an angle alpha with the positive x-axis,then cos alpha equals a.(1)/(2) b.1 c.(1)/(sqrt(2)) d.(1)/(sqrt(3))

Let L.be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2. If L makes an angles alphawith the positive x-axis, then cos alpha equals

Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 . If L makes an angle alpha with the positive X=axis, then cosalpha equals

The Plane 2x - 3y + 6z - 11 = 0 makes an angle sin^(-1) (alpha) with x-axis. The value of alpha is equal to

The equation of a plane passing through the line of intersection of the planes x+2y+3z=2 and x-y+z=3 and at a distance (2)/(sqrt(3)) from the point (3,1,-1) is

The point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the plane 2x-y+3z-1=0 , is

MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF THREE DIMENSIONS-QUESTION BANK
  1. A line joining the points (1,1,1) and (2,2,2) intersect the plane x+y+...

    Text Solution

    |

  2. Find the image of point (3,-2,1) in the plane 3x- y + 4z = 2.

    Text Solution

    |

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

    Text Solution

    |

  4. The ratio in which the line joining (2,4,5) and (3,5,-4) is divided by...

    Text Solution

    |

  5. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is (A) sqr...

    Text Solution

    |

  6. The line (x+1)/1 =(y-1)/2=(z-1)/0

    Text Solution

    |

  7. Equation of the line passing through (1,1,1) and perpendicular to the...

    Text Solution

    |

  8. Find the distance of the following points from the origin (0,-4,4)

    Text Solution

    |

  9. Find the distance of the following points from the origin (2,4,-3)

    Text Solution

    |

  10. Find the distance of the following points from the origin (4,-5,3)

    Text Solution

    |

  11. What is the distance of the y-axis from the point(3,-4,0)?

    Text Solution

    |

  12. Find the distances between the following pair of points. (4,3,-6) and ...

    Text Solution

    |

  13. Find the distances between the following pair of points. (-4,-2,3) and...

    Text Solution

    |

  14. If the distance between the points (x,2,0) and (1,3,1) be sqrt6 , find...

    Text Solution

    |

  15. Show that the points (1,-2,-3),(2,-3,-1) and (3,-1,-2) are the vertice...

    Text Solution

    |

  16. Show that the triangle with vertices (6,10,10),(1,0,-5) and (6,-10,0)...

    Text Solution

    |

  17. Find the locus of the point which is equidistant from the points (1,-2...

    Text Solution

    |

  18. The distance of a point from the x-axis is twice its distance from the...

    Text Solution

    |

  19. A point moves in such a way that its distance from the X-axis is twice...

    Text Solution

    |

  20. Find the co-ordinates of the point which divides the join of (5,8,-3) ...

    Text Solution

    |