From an external point \( P \), pair of tangent lines are drawn to ...

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From an external point \( P \), pair of tangent lines are drawn to the parabola, \( \mathrm{y}^{2}=4 \mathrm{x} \). If \( \theta_{1} \& \theta_{2} \) are the inclinations of these tangents with the axis of \( x \) such that, \( \theta_{1}+\theta_{2}=\frac{\pi}{4} \), then find the locus of \( P \).
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