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JEE Advance - Mathematics (1991 - No. 12)

Let the algebraic sum of the perpendicular distances from the points $$\left( {2,0} \right),\,\left( {0,\,2} \right)$$ $$\left( {1,\,1} \right)$$ to a variable straight line be zero; then the line passes through a fixed point whose cordinates are ...............
(1, 1)
(2, 2)
(0, 0)
(1, 0)
(0, 1)

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