If \( f \) is a continuous function with \( \int_{0}^{x} f(t) d t \rightarrow \infty \) as \( ...

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If \( f \) is a continuous function with \( \int_{0}^{x} f(t) d t \rightarrow \infty \) as \( |x| \rightarrow \infty \), then show that every line \( y=m x \) intersects the
P curve \( y^{2}+\int_{0}^{x} f(t) d t=2 \)
(1991, 2M)
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