Question: Let A = R R {(0,0)} . Thus,A is the xy - plane without the origin. Define a relationR onA by ((x1, y1),(x2, y2))R(x1,

Let A = R R \ {(0,0)}.

Thus,Ais thexy - plane without the origin. Define a relationRonAby

((x1, y1),(x2, y2))R(x1, y1)and(x2, y2)lie on a line which passes through the origin.

Given (x, y) A, an equivalence class with respect to (x, y) is [(x, y)]

R = {(a, b) :(a, b)(x, y)}. Find the equivalence classes of R

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