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In the xy plane three distinct lines l1,...

In the xy plane three distinct lines `l_1,l_2,l_3` are concurrent at `M(lambda,0)`. Also the lines `l_1,l_2,l_3` are normals to the parabola `y^2 =6x` at the points `A(x_1,y_1), B(x_2,y_2) ,C(x_3,y_3)` respectively. Then

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