[swastik pramanik]

Points \(A, B, C, D, E\) lie on a circle \(\omega\) and point \(P\) lies outside the the circle. The given points are such that

(I) Lines \(PB\) and \(PD\) are tangents to \(\omega\);

(II) \(P, A, C\) are collinear;

(III) Line \(DE\) is parallel to line \(AC\).

Prove that line \(BE\) bisects line \(AC\)

[Prasad s]

Solution is attached.

Raghav

[Author]

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