Let
be a point on a nondegenerate conic. A right angle with vertex
intersects the conic at points
and
. Prove that the line
passes through a fixed point located on the normal to the conic through the point
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$(BEL 4)$ Let $O$ be a point on a nondegenerate conic. A right angle with vertex $O$ intersects the conic at points $A$ and $B$. Prove that the line $AB$ passes through a fixed point located on the normal to the conic through the point $O.$