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Show that the relation ∼ defined as (x1,y1) ∼ (x2,y2) ⇔ (x1) −(y1)2 = （x2 ）−（y2）2...

Show that the relation ∼ defined as (x1,y1) ∼ (x2,y2) ⇔ (x1) −(y1)2 = （x2 ）−（y2）2 is an equivalence relation on R2. Sketch equivalence classes of (0,1) and (1,1) Find a representative for each distinct equivalence class.

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