In A B C , A L and C M are the perpe...

In ` A B C` , `A L` and `C M` are the perpendiculars from the vertices `A` and `C` to `B C` and `A B` respectively. If `A L` and `C M` intersect at `O` , prove that: (i) ` O M A O L C` (ii) `(O A)/(O C)=(O M)/(O L)`

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