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If  An,n2  (where n∈N) is any point in the interior of the quadrilateral formed by x=0, y=0, 3x+y-4=0 and 4x+y-21=0 then the possible number of positions of A is

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Detailed Solution

(n,n2) lies on parabola x2=y which intersect the line 3x+y-4=0 at (1,1) and 4x+y-21=0 at (3,9)∴ Interior point is (2,4) which lies on parabola
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If  An,n2  (where n∈N) is any point in the interior of the quadrilateral formed by x=0, y=0, 3x+y-4=0 and 4x+y-21=0 then the possible number of positions of A is