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Q.

8th roots of unity and 6th roots of unity in the Argand plane formed two regular polygons. Then the ratio of their Areas is

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a

4 : 3

b

8:33

c

8:36

d

4:33

answer is C.

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Detailed Solution

Area of a regular polygon of n sides = nr22sin2πn(where r= circum radius)

ratio of Areas =812sin ⁡π4:6×12sin ⁡π3
=22:332=8:36

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