Let S = R^2 2 and define the relation R as follows (x1, y1)R(x2, y2) ⇔ x1^2+y1^2 = x2^2+y2^2 Show that R is an equivalence relation and find the equivalenec class R[(7, 1)].

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Discrete math

Let S = R^2
2 and define the relation R as follows
(x1, y1)R(x2, y2) ⇔ x1^2+y1^2 = x2^2+y2^2

Show that R is an equivalence relation and find the equivalenec class R[(7, 1)].

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