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JEE Math Practice Question

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

  1. A.$$1$$
  2. B.$${1 \over {\sqrt 2 }}$$
  3. C.$${1 \over {\sqrt 3 }}$$
  4. D.$${1 \over 2}$$

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