Mathematically precise definition should be the one that provide sufficient information, it provides necessary information, it uses specific examples, it can mention point, line, and plane.
What is a mathematically precise definition?
"Precision refers to how consistent any given values are with each other. It shows the closeness of the given values, or measurements are with each other. It is irrelevant of the ‘correct' or closest to an expected value of any given measurements. For example, if you measure the weight of an object five times, and you find that it is 245 grams each time, it is perfectly precise. If you find only a few grams of deviation, that is if you find it is 245 grams in 3 trials and find it 244 grams and 247 grams in the remaining trials, it is quite precise. It is irrelevant to the precision of the object whether the actual weight of the object is 250 grams or 500 grams."
From the definition it is clear that,
A mathematically precise definition should have sufficient information, it provides necessary information, it uses specific examples, it mentions point, line, and plane.
Hence, B, C, D, E are the correct options.
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