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The focus of the parabola x^2 = 4y is F = (0,1). A line passing through F intersects the parabola at N and M. The line passing through F that is perpendicular to line MN intersects the parabola at a point A in the first quadrant. If  \(\angle\)MAN = 90\(^\circ \), then enter the coordinates of A.

 

 

 Dec 1, 2019
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The coordinates of A are (sqrt(2),1/2).

 Dec 3, 2019

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