Part I
Consider (h; k); (x0; y0) 2 R2. Here R2 is set of ordered pairs (x; y) such that x; y 2 R.
Part III:
1. Consider Q denote set of all rational numbers, P be set of all irrational numbers. Prove that there exists the parabola such that there is unique point (p; q) with p; q 2 Q and every other point on parabola is of form (x; y) where x 2 Q; y 2 P or x 2 P; y 2 Q.
Part III :
1. Interpret results of Parts I and II graphically and in normal common sense language.