JEE Main 2016 (7)

Geometry Level 4

Find the sum of slopes of all possible lines passing through origin OO and intersecting the lines x+y=1,x+2y=1x+y=1,x+2y=1 at A,BA,B respectively such that 3(OA)(OB)=13(OA)(OB)=1.

Note: OAOA represents distance between origin and point AA.


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