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Let F_1(x_1,0)" and "F_2(x_2,0), for x_1 lt 0 " and" x_2 gt 0, be the foci of the ellipse (x^2)/(9)+(y^2)/(8)=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. If the tangents to the ellipse at M and N meet at R and the normal to the parabola at M meets the x-axis at Q, then the ratio of the area of the triangle MQR to area of the quadrilateral MF_1NF_2 is : |
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