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Two Orthogonal Parabolas (Posted on 2025-03-13) Difficulty: 3 of 5
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 Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Graphical approximationbroll2025-03-14 12:01:15
re: Graphical approximationbroll2025-03-14 12:01:15
Some ThoughtsGraphical approximationLarry2025-03-14 08:10:11
Some ThoughtsPossible approach.broll2025-03-14 01:47:23
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