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Question

Let a and b be two positive real numbers such that a+2b1. Let A1 and A2 be respectively, the areas of circles with radii ab3 and b2. Then the maximum possible value of A1A2 is


A
116  
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B
164
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C
1162  
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D
132  
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Solution

The correct option is B 164
a+2b1A1=πa2b6, A2=πb4A1A2=a2b21a+2b22ab  (AMGM)122ab14×2ab164a2b2164a2b2

Mathematics

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