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The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regula

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The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regular polygon is-  

(A) 66 

(B) 30 

(C) 24 

(D) 15 

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Best answer

Correct Option :-(D) 15

Explanation :-

Number of diagonals passing through centre = 6 

number of rectangles = 6C2 = 15 

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