KVPY 2016 SA Question 1

Geometry Level 2

Positive real numbers $a$ and $b$ are such that $a+2b \leq 1$ . Let $A_1$ and $A_2$ be the areas of circles with radii $ab^3$ and $b^2$ respectively. Find the maximum values of $\dfrac{A_1}{A_2}$ .

KVPY 2016 SA Question 1

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