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 $A$ .

Try my set JEE Main 2016.

None of these

\frac{12}{5}

\frac{5}{6}

1 2 3