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← JEE Main 2015 · 11 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 66 of 90

JEE Main 2015 · 11 Apr · Shift 1, Mathematics question 66

If in a regular polygon the number of diagonals is 54, then the number of sides of this polygon is :

Choose one option
Answer and worked solution

Official answer: B

n(n−3)2=54\dfrac{n(n-3)}2=54 gives n2−3n−108=0n^2-3n-108=0, so n=12n=12.