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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.
The orthocentre of the triangle `F_(1)MN` is

A

`(-(9)/(10),0)`

B

`((2)/(3),0)`

C

`((9)/(10),0)`

D

`((2)/(3),sqrt(6))`

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