Various forms of equation of a straight lineMedium
Area of Inscribed Triangles
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 of the area of the triangle OAB and AN : NB = λ : 1, then the sum of all possible value(s) of is λ :