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The point of intersection of the line passing through `(0,0,1)` and intersecting the lines `x+2y+z=1,-x+y-2z=2` and `x+y=2,x+z=2` with `x y` plane is a. `(5/3,-1/3,0)` b. `(1,1,0)` c. `(2/3,1/3,0)` d. `(-5/3,1/3,0)`

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