If the solution curve f(x, y)=0 of the differential equation (1+\log _e x) \frac{d x}{d y}-x \log _e x=e^y, x > 0, passes through the points (1,0) and (\alpha, 2), then \alpha^\alpha is equal to : [6-Apr-2023 shift 2]

JEE Mains 6-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 13 of 90

Marks: +1, -0

If the solution curve f(x,y)=0 of the differential equation (1+logex)‌

−xlogex=ey,x>0, passes through the points (1,0) and (α,2), then αα is equal to :

[6-Apr-2023 shift 2]

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