Prove that ~ defines an equivalence relation on a

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Reference no: EM131168841

Let A be the set of points different from the origin in the Euclidean plane. For p, q ? A, define p ~ q if p = q or the line through the distinct points p and q passes through the origin.

(a) Prove that ~ defines an equivalence relation on A.

(b) Find the equivalence classes of ~.

Reference no: EM131168841

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