If (a,a2) falls inside the angle made by the lines y=2x,x>0 and y=3x,x>0, then a belongs to:
Solutions · 1
Official solution
For (a,a2) to lie between the two lines (below y=3x and above y=2x, for a>0):
\[a^2-3a<0 \implies 0<a<3\]
\[a^2-\frac a2>0 \implies a\left(a-\frac12\right)>0 \implies a>\frac12 \text{ (for } a>0)\]
Combining: 21<a<3.