Define an equivalence relation on R² by: ¤1, Y1) ~ (x2, Y2) e if and only if (*1, Yı) and (x2, Y2) have the same distance from the origin. (a) Interpret the equivalence classes geometrically and describe the quotient R²/ ~. (b) Is the function f: (R°/ ~) → R, [(21, yn)] → 국+ yf well defined?

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A: The objective is to show that ~ is an equivalence relation on X.

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A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

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A: This can be solved as follows:

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A: Relation

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A: Solution:

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A: We shall solve first three subparts only as per company's guidelines. For others please post again…

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A: ANSWER ONLY ASAP! What are the elements of the Cartesian product X x Y?

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