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 pos

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Q 1125223161.     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 cosalpha equals
JEE 2007
A

`1/sqrt3`

B

`1/2`

C

`1`

D

`1/sqrt2`

HINT

Let the direction cosines of the line of intersection be ` l,m,n` . `=>2l+3m+n=0` and `l+3m+2n=0`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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