The normals are drawn from \( (2 \lambda, 0) \) to the parabola \( ...

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The normals are drawn from \( (2 \lambda, 0) \) to the parabola \( y^{2}=4 x \). Show that \( \lambda \) must be greater than 1 . One normal is always the \( X \)-axis. Find \( \lambda \) for which the other two normals are perpendicular to each other.
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