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JEE Math Practice Question

If $$\alpha $$, $$\beta $$ and $$\gamma $$ are three consecutive terms of a non-constant G.P. such that the equations $$\alpha $$x 2 + 2$$\beta $$x + $$\gamma $$ = 0 and x2 + x – 1 = 0 have a common root, then $$\alpha $$($$\beta $$ + $$\gamma $$) is equal to :

  1. A.$$\alpha $$$$\gamma $$
  2. B.0
  3. C.$$\beta $$$$\gamma $$
  4. D.$$\alpha $$$$\beta $$

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