JEE Main 29 Jan 2025 Shift 2 Paper

Let the line x+y=1 meet the axes of x and y at A and B, respectively. A right angled triangle AMN is inscribed in the triangle OAB, where O is the origin and the points M and N lie on the lines OB and AB, respectively. If the area of the triangle AMN is ‌

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of the area of the triangle OAB and AN:NB=λ:1, then the sum of all possible value(s) of is λ :