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The two orthogonal parabolas:

y=2x^2+a
x= 2y^2+b

intersect at four distinct points.
These four points are on the same circle of area 10.

Given that a, b < 0, determine the minimum value of ab.

(No Solution Yet, 4 Comments) Submitted on 2025-03-13 by K Sengupta   
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