In the cube abcd-a1b1c1d1, M is the midpoint of CC1. If P is on the plane of abb1a1 and satisfies ∠ pdb1 = ∠ mdb1, what is the trajectory of point P? The answer is hyperbola But I think the picture I draw also looks like a parabola Is there a curve? How can I draw only one

Because P is on the plane of abb1a1, in addition to a curve inside abb1a1, another curve symmetrical about BB1 on the plane is also a curve

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