Let F1(x1,0) and F2(x2,0), for x1<0 and x2>0, be the foci of the ellipse x29+y28=1. Suppose a parabola having vertex at the origin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant. The orthocentre of the triangle F1MN is

Let F1(x1,0) and F2(x2,0), for x1<0 and x2>0, be the foci of the ellip

1.	Let F1(x1,0) and F2(x2,0), for x1<0 and x2>0, be the foci of the ellipse x29+y28=1. Suppose a parabola having vertex at the origin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant. The orthocentre of the triangle F1MN is
Answer» Let $F_{1} (x_{1}, 0)$ and $F_{2} (x_{2}, 0),$ for $x_{1} < 0$ and $x_{2} > 0,$ be the foci of the ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{8} = 1.$ 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. The orthocentre of the triangle $F_{1} M N$ is