If \( a x+b y=1 \) is a normal to the parabola \( y^{2}=4 \mathrm{Px} \), then prove that \( \ma...

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If \( a x+b y=1 \) is a normal to the parabola \( y^{2}=4 \mathrm{Px} \), then prove that \( \mathrm{Pa}^{3}+2 a \mathrm{~Pb}^{2}=\mathrm{b}^{2} \)
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