If a line \( x+y=1 \) cut the parabola \( y^{2}=4 a x \) in points \( A \) and \( B \) and norma...

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If a line \( x+y=1 \) cut the parabola \( y^{2}=4 a x \) in points \( A \) and \( B \) and normals drawn at \( A \) and \( B \) meet at \( C \) (C does not lies on parabola). The normal to the parabola from \( C \) other, than above two meet the parabola in \( D \), then find \( D \)
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