$\text{ Let }{F}_1\left(x_1,0\right)\text{ and }{F}_2\left(x_2,0\right)\text{ , for }{x}_1<0\text{ and }{x}_2>0,\text{ be the foci of the ellipse }\frac{x^2}{9}+\frac{y^2}{8}=1$

$\text{ Suppose a parabola having vertex at the origin and focus at }{F}_2\text{ intersects the ellipse at point }\mathrm{M}\text{ in the }$

$\text{ first quadrant and at point }\mathrm{N}\text{ in the fourth quadrant. }$