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LetF 1 ( x 1 , 0 ) and F 2 ( x 2 , 0 ) for x 1 < 0 and x 2 > 0 , be the foci of the ellipse
+
= 1 . Suppose a parabola having vertex at the origin and focus at F 2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.
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Let
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