The area bounded by curves y= [6+x [ 1 x ] ], y^2-18 x+18=0 and 6 x-5 y-6=0 , (where [.] denotes the greatest integer function) is A , then 2 A 11 __________ .

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Correct answer: 2

If x 1y=6 ...(1) y^2=18(x-1) ....(2) (1) and (2) intersect at (3,6) . Intersection of y^2-18 x+18=0 and 6 x-5 y-6=0 is aligned & A= ₁^ (6,6) 18(x-1) - 6 5 (x-1) d x+ ₃^6 6- 6 5 (x-1) d x & =11 aligned

The area bounded by curves y= [6+x [ 1 x ] ], y^2-18 x+18=0 and 6 x-5 y-6=0 , (where [.] denotes the greatest integer function) is A , then 2 A 11 __________ .

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