If $\left(a, a^2\right)$ falls inside the angle made by the lines $y=\frac{x}{2}, x0$ and $y=3 x, x0$, then a belongs to

Question

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

Aicharya · Accepted Answer

$a^2-3 a 0 \Rightarrow \frac{1}{2} < a < 3$

If $\left(a, a^2\right)$ falls inside the angle made by the lines $y=\frac{x}{2}, x>0$ and $y=3 x, x>0$,…