In the given figure, E and F are the centers of two identical circles. What is the ratio of area of triangle AOB to the area of triangle DOC?
A) 1 : 3 B) 1 : 9 C) 1 : 8 D) 1 : 4
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Answer:
Step-by-step explanation:
∠AEB ≈ MED
∠AFB ≈ CFN
So,
AB = DM = CN
&
AB = MN
[As shown in fig]
AB/(DM+MN+NC)=AB/DC=1/3
So,
(Area of ∆AOB)/(Area of ∆DOC)=(AB^2)/(DC^2 )=(1/3)^2=1/9
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