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