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A curve that does not meet rational points is a mathematical concept in which a curve or line on a graph does not intersect with any points that have rational coordinates, meaning they cannot be expressed as a fraction of two integers.
A curve that does not meet rational points is different from other curves because it does not have any points with rational coordinates, while other curves may have some or all points with rational coordinates.
Some examples of curves that do not meet rational points include circles, ellipses, and parabolas with certain parameters. These curves can have points with irrational coordinates, but not rational ones.
A curve that does not meet rational points has significance in mathematics and number theory, as it can help identify patterns and relationships between rational and irrational numbers. It also has applications in cryptography and coding theory.
No, a curve that does not meet rational points will never intersect with rational points. This is because its definition states that it does not have any points with rational coordinates, so it is impossible for it to intersect with any points that have rational coordinates.