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JEE Math Practice Question

Let $${{x - 2} \over 3} = {{y + 1} \over { - 2}} = {{z + 3} \over { - 1}}$$ lie on the plane $$px - qy + z = 5$$, for some p, q $$\in$$ R. The shortest distance of the plane from the origin is :

  1. A.$$\sqrt {{3 \over {109}}} $$
  2. B.$$\sqrt {{5 \over {142}}} $$
  3. C.$${5 \over {\sqrt {71} }}$$
  4. D.$${1 \over {\sqrt {142} }}$$

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