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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.

Answer»


Answer :EQUATION of `L_(3) is x + 3Y =3`


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