Consider the following lines C1 and C2 : C1: y/3=x/3+1 C2: y/3=-x/3+1 Let C3 be the straight line which is perpendicular to C2C2 and whose y-intercept is 4. Define S1to be the set of points of...


Consider the following lines C1 and C2 :


C1: y/3=x/3+1


C2: y/3=-x/3+1


Let C3 be the straight line which is perpendicular to C2C2 and whose y-intercept is 4.
Define



  • S1to be the set of points of intersection of C1 and C2

  • S2 to be the set of points of intersection of C1 and C3

  • S3 to be the set of all the points of intersection of "C1 and C2" or "C2 and C3" or "C1 and C3".




What is the cardinality of S1?S2?



May 05, 2022
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