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Let LMNP be a rectangle (which is not a ...

Let LMNP be a rectangle (which is not a square) inscribed in the ellipse as shown in the figure. Let '`lambda` denotes the number of ways in which we can select four points out of A,A',B,B', L,M,P and N such that normal at these four points are concurrent, then '`lambda` is less than or equal to-

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