4. (30%) (a) \( (20\%) \) Find parametric equations for the set of all points \( \mathbf{P} \) as shown in the figure such that \( |\mathrm{OP}| = |\mathrm{AB}| \).
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4. (30%) (a) \( (20\%) \) Find parametric equations for the set of all points \( \mathbf{P} \) as shown in the figure such that \( |\mathrm{OP}| = |\mathrm{AB}| \).