Instructions

PARAGRAPH 2

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 quadrantandat point N in the fourth quadrant.

Question 53

The orthocentre of the triangle $$F_1MN$$ is

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The orthocentre of the triangle $$F_1MN$$ is

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