Solve this following


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 :-

  1. $\frac{2}{5}$

  2. $\frac{2}{\sqrt{5}}$

  3. $\frac{\sqrt{2}}{5}$

  4. $\sqrt{\frac{2}{5}}$

Correct Option: , 4



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