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JEE Advanced 2016 Paper 2

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The questions are based on the paragraph

Let F1(x1,0) and F2(x2,0) for x1<0 and x2>0, be the foci of the ellipse
x2
9
+
y2
8
=1 . Suppose a parabola having vertex at the origin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.
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