Three normals with slopes \( m_{1}, m_{2} \) and \( m_{3} \) are dr...

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Three normals with slopes \( m_{1}, m_{2} \) and \( m_{3} \) are drawn
P from a point \( P \) not on the axis of the parabola

W \( y^{2}=4 x \). If \( m_{1} m_{2}=\alpha \), results in the locus of \( P \) being a part of the parabola, find the value of \( \alpha \).
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