If the two lines x+a-1) y=1 and 2 x+a^ 2 y=1(a R-(0,1) are perpendicular, then the…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

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

Answer

(C) 2 5

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