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If f(x+y) = f(x).f(y) for all x and y. f...

If `f(x+y) = f(x).f(y)` for all `x and y. f(1)=2`, and `alpha_n = f(n), n epsilon N`, then equation of the circle having `(alpha_1, alpha_2) and (alpha_3, alpha_4)` as the ends of its one diameter is : (A) `(x-2) (x-8) + (y-4) (y-16) = 0` (B) `(x-4) (x-8) + (y-2) (y-16) = 0` (C) `(x-4) (x-16) + (y-4) (y-8) = 0` (D) none of these

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