Let \( m_{1}, m_{2} \) are slopes of two tangents that are drawn \(...

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Let \( m_{1}, m_{2} \) are slopes of two tangents that are drawn
\( \mathrm{P} \) from \( (2,3) \) to the parabola \( y^{2}=4 x \) and \( \alpha \) is the

W harmonic mean of \( m_{1} \& m_{2} \). If \( \beta \) is the value of \( \left(1+\tan 23^{\circ}\right)\left(1+\tan 22^{\circ}\right) \), then \( \frac{3}{2} \alpha+\beta \) is:
(1) 2
(2) 3
(3) 1
(4) 5
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