# JEE Main 2016 (7)

Geometry Level 4

Find the sum of slopes of all possible lines passing through origin $$O$$ and intersecting the lines $$x+y=1,x+2y=1$$ at $$A,B$$ respectively such that $$3(OA)(OB)=1$$.

Note: $$OA$$ represents distance between origin and point $$A$$.

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