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JEE Math Practice Question

If the system of linear equations. $$8x + y + 4z = - 2$$ $$x + y + z = 0$$ $$\lambda x - 3y = \mu $$ has infinitely many solutions, then the distance of the point $$\left( {\lambda ,\mu , - {1 \over 2}} \right)$$ from the plane $$8x + y + 4z + 2 = 0$$ is :

  1. A.$$3\sqrt 5 $$
  2. B.4
  3. C.$${{26} \over 9}$$
  4. D.$${{10} \over 3}$$

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