JEE Main 30-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

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 ‌

−y2

2Y′(x)

+1,Y′(x)≠0. If Y(1)=1, then 12Y(2) equals_____

[30-Jan-2024 Shift 2]

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