https://m.youtube.com/watch?v=iiwu9_MC-SI

(geometry) Q. 2].         Consider a ∆ PQR with a point A within the ∆ .Lines PA, QA, and RA intersect the opposite side s in points DEF respectively.
PROVE THAT out of the numbers PA/AD, QA/AE, RA/AF, at least one is ≤2 and at least one is ≥2.


post your solution in the comments .
Thank you.

Link for previous year CMI papers:https://www.cmi.ac.in//admissions/syllabus.php

A link for CMI papers 2017:
https://www.cmi.ac.in/admissions/sample-qp/ugmath2017.pdf

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