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JEE Math Practice Question

If $$\log _e \mathrm{a}, \log _e \mathrm{~b}, \log _e \mathrm{c}$$ are in an A.P. and $$\log _e \mathrm{a}-\log _e 2 \mathrm{~b}, \log _e 2 \mathrm{~b}-\log _e 3 \mathrm{c}, \log _e 3 \mathrm{c} -\log _e$$ a are also in an A.P, then $$a: b: c$$ is equal to

  1. A.$$6: 3: 2$$
  2. B.$$9: 6: 4$$
  3. C.$$25: 10: 4$$
  4. D.$$16: 4: 1$$

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