2. Determine if the set A of all intersection points in R2 of the family of...

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2. Determine if the set A of all intersection points in R2 of the family of lines {y = mx : m e Z} with the family of circles {r2 + y? =r² :r € Q} is countable or uncountable. Here A is the set of all points in R2 that are on at least one of the lines y = mx (m e Z) and at least one of the circles r2 + y² = r² (r e Q). 2. Determine if the set A of all intersection points in R2 of the family of lines {y = mx : m e Z} with the family of circles {r2 + y? =r² :r € Q} is countable or uncountable. Here A is the set of all points in R2 that are on at least one of the lines y = mx (m e Z) and at least one of the circles r2 + y² = r² (r e Q).