If the normals to the ellipse x^2/a^2+y...

If the normals to the ellipse `x^2/a^2+y^2/b^2= 1` at the points `(x_1, y_1), (x_2, y_2) and (x_3, y_3)` are concurrent, prove that `|(x_1,y_1,x_1y_1),(x_2,y_2,x_2y_2),(x_3,y_3,x_3y_3)|=0`.

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