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Let Y=Y(X) be a curve lying in the first...

Let `Y=Y(X)` be a curve lying in the first quadrant such that the area enclosed by the line `Y-y=Y'(x)(X-x)` and the co-ordinate axes,where "(x,y)" is any point on the curve,is always `(-y^(2))/(2Y'(x))+1,Y'(x)!=0` .If `Y(1)=1` ,then "`12Y(2)`" equals________

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
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