Let \( a \) and \( b \) be two positive real numbers such that \( a+2 b \leq 1 \). Let \( A_{1} ... VIDEO
Let \( a \) and \( b \) be two positive real numbers such that \( a+2 b \leq 1 \). Let \( A_{1} \) and \( A_{2} \) be, respectively, the areas of circles with radil \( a b^{3} \) and \( b^{2} \). Then the maximum possible value of \( A_{1} / A_{2} \) is
(a) \( 1 / 16 \)
(b) \( 1 / 64 \)
(c) \( 1 / 16 \sqrt{2} \)
(d) \( 1 / 32 \)
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