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L(1), L(2),L(3) are three lines where L(...

`L_(1), L_(2),L_(3)` are three lines where `L_(1) = 2x + y =2, L _(2) = x -2y=-1and L _(3)` is any line passing through the point of intersection of `L_(1) and L _(2)` A line L passing through `P(0,1)` intersects `L _(1), L _(2) and L _(3)` at A, B and C respectively. If intercept of L between `L _(1) and L _(2)` subtends right angle at origin and `((1)/(PA))^(2) + ((1)/(PB)) ^(2) + ((1)/(PC))^(2) =5,` then find `L _(3)` and L.

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Equation of `L_(3) is x + 3y =3`
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