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JEE Math Practice Question

If three distinct numbers a, b, c are in G.P. and the equations ax2 + 2bx + c = 0 and dx2 + 2ex + ƒ = 0 have a common root, then which one of the following statements is correct?

  1. A.$$d \over a$$, $$e \over b$$, $$f \over c$$ are in G.P.
  2. B.d, e, ƒ are in A.P
  3. C.d, e, ƒ are in G.P
  4. D.$$d \over a$$, $$e \over b$$, $$f \over c$$ are in A.P.

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