In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
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Question: Problem: in the rectangular coordinate system , points ( 4 , 0 ) and ( – 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above

Answer: b


Question: Problem: what is the smallest positive integer nn such that √ 6,480 ∗ n is a perfect cube ? 
Options: a ) 5 , b ) 5 ^ 2 , c ) 30 , d ) 30 ^ 2 , e ) 30 ^ 4

Answer: e


Question: Problem: how many diagonals does a polygon with 17 sides have , if one of its vertices does not connect to any diagonal ? 
Options: a ) 102 , b ) 104 , c ) 110 , d ) 90 , e ) 84

Answer:
b