jee_main_2025_29_jan_evening - Straight Lines Topics

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QUESTION #58 Area of Triangles and Inscribed Shapes
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 (4)/(9) of the area of the triangle OAB and AN: NB = \lambda : 1, then the sum of all possible value(s) of λ is :
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