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IOQM 2022-23 P-2

Source:

October 30, 2022
IOQMgeometryparallelogram

Problem Statement

In a paralleogram ABCDABCD , a point PP on the segment ABAB is taken such that APAB=612022\frac{AP}{AB}=\frac{61}{2022}\\ and a point QQ on the segment ADAD is taken such that AQAD=612065\frac{AQ}{AD}=\frac{61}{2065}.If PQPQ intersects ACAC at TT, find ACAT\frac{AC}{AT} to the nearest integer
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