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Let F(1)(x(1),0) and F(2)(x(2),0), for x...

Let `F_(1)(x_(1),0)` and `F_(2)(x_(2),0)`, for `x_(1)lt0` and `x_(2)gt0`, be the foci of the ellipse `(x^(2))/(9)+(y^(2))/(8)=1`. Suppose a parabola having vertex at the orgin 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 area of the triangle MQR to area of the quadrilateral `MF_(1)NF_(2)` is

A

`3:4`

B

`4:5`

C

`5:8`

D

`2:3`

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