Magic Geometry Construction | CMI Entrance 2022 B1 Problem, Idea and Solution| Math Olympiad

[pramodk]

HI, can't we directly use Menalaus Theorem? Beautiful construction, by the way. Thanks!

[swastikadey]

By menelau's theorem in triangle XYZ using transversal RPQ, ZQ/YQ*YR/XR*XP/PZ =1,
So, k*XP/XR*(XY+XR) /(PW+WZ) =1,
k*XP/XR*(XY+XR)/(XP+XY)k=1,
XP(XY+XR)= XR(XY +XP),
XY(XP-XR) =0,
XP=XR, as XY can not be 0,
Is my solution correct? I did it in this way

[asifhossain]

Beautiful explanation sir ❤️❤️❤️❤️❤️❤️❤️❤️

[namantenguriya]

I always wonder in geometry, how someone can be as able to do such perfect constructions... Maybe lots of practice. And it's what is most important in geometry problems.
I tried it very hard in cmi x'm, do some construction, Menelaus thm & all but nothing was satisfactory.

[vineetjain]

I give cmi entrance exam I solved 29 questions in part a and 2 question in part b good pair and square cutting wala. What should I expect?

[sajaltuley]

Around how many marks one should get in part B? I was also to solve only one question r^2+s^3 wala

[subhranildeb]

I want to admit online classes for my chaild who is in class eleven, and he is a math lovers, but can't enough study in agartala, plz help me to the right way to reach his goal.

[milindpatt]

what could be the expected cutoff Part A and (Part A+Part B)