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Find the value of AC/OC

Source: MTRP 2018 Class 11-Multiple Choice Question: Problem 4 :-

February 17, 2021
geometry

Problem Statement

Take a point OO inside ΔABC\Delta A B C such that ∠BOC=90∘\angle B O C=90^{\circ}, ∠CAO=∠ABO\angle C A O=\angle A B O, ∠BAO=∠BCO.\angle B A O=\angle B C O . Find the value of ACOC\frac{A C}{O C}
[*] 2\sqrt{2} [*] 32\sqrt{\frac{3}{2}} [*] 2 [*] None of these
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