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Option (2) 1:6 is the correct optionStep-by-step explanation:BD:CD = 1:2ar(∆ABD)/AR(∆ABC) = 1/3ar(∆ABD) = 1/3×ar(∆ABC)––––(1) In ∆ABD, BO is the median and median divides the triangle into two TRIANGLES if equal areas. Therefore, ar(∆OAB)=1/2ar(∆ABD)From equation (1)ar(∆OAB) = 1/2×1/3 ar(∆ABC)ar(∆OAB) = 1/6×ar(∆ABC) ar(∆OAB)/ar(∆ABC) = 1/6ar(∆OAB):ar(∆ABC) = 1:6Hope it HELPED you!Have a great day!



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