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Q.

$If Δ_{1}, Δ_{2} are the areas of incircle and circumcircle of a triangle with sides 3, 4 and 5 then \frac{Δ_{1}}{Δ_{2}} =$

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Detailed Solution

$r = \frac{Δ}{S} \Rightarrow r = 1 s = \frac{a + b + c}{2} = \frac{12}{2} = 6$

$\Rightarrow Δ = r s = 6 \Rightarrow \frac{Δ_{1}}{Δ_{2}} = \frac{1}{(5 h)^{2}} = \frac{4}{25}$

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