(α,α2) lie on the parabola y=x2 (α,α2) must lie between the asymptotes on hyperbola ‌
x2
1
−‌
y2
4
=1 in 1‌st ‌ and 2‌nd ‌ quadrant. ∴ Asymptotes are y=±2x. ⇒‌‌2α<α2 ⇒‌‌α<0 or α>2 and ‌‌−2α<α2 α<−2 or α>0 ∴α∈(−∞,−2) or α∈(2,∞)