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If $\left(a, a^2\right)$ falls inside the angle made by the lines $y=\frac{x}{2}, x>0$ and $y=3 x, x>0$, then a belongs to
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The correct answer is:
$\left(\frac{1}{2}, 3\right)$
$\left(\frac{1}{2}, 3\right)$
$a^2-3 a < 0$ and $a^2-\frac{a}{2}>0 \Rightarrow \frac{1}{2} < a < 3$
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