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I am re-submitting the question, Suppose P1, P2,.Pn are parabolas. Then no matter how they are placed on the Cartesian plane(they can overlap) they...

I am re-submitting the question, Suppose P1, P2,....Pn are parabolas. Then no matter how they are placed on the Cartesian plane(they can overlap) they cannot cover every point of the plane. Prove it without using Algebra.
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