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If the two lines $x + (a-1)y = 1$ and $2x + a^2 y = 1$ $(a \in \mathbb{R} - {0, 1})$ are perpendicular, then the distance of their point of intersection from the origin is:
(1) $\sqrt{\frac{2}{5}}$
(2) $\frac{2}{5}$
(3) $\frac{2}{\sqrt{5}}$
(4) $\frac{\sqrt{2}}{5}$
BETA
