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JEE Math Practice Question

If the angle between the line $$x = {{y - 1} \over 2} = {{z - 3} \over \lambda }$$ and the plane $$x+2y+3z=4$$ is $${\cos ^{ - 1}}\left( {\sqrt {{5 \over {14}}} } \right),$$ then $$\lambda $$ equals :

  1. A.$${3 \over 2}$$
  2. B.$${2 \over 5}$$
  3. C.$${5 \over 3}$$
  4. D.$${2 \over 3}$$

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