## imqwerty one year ago :)

1. imqwerty

P, Q, R, S is a quadrilateral inscribed in a circle Γ. Let L, M, N, O be the mid points of arcs PQ, QR, RS, SP of circle Γ respectively. If PR.QS=LM.MO . Prove that PR, QS, LN, MO are concurrent.

2. imqwerty

$\begin{array}l\color{white}{\text{c}}\color{white}{\text{a}}\color{white}{\text{n}}\color{white}{\text{ }}\color{white}{\text{u}}\color{white}{\text{ }}\color{white}{\text{s}}\color{white}{\text{e}}\color{white}{\text{e}}\color{white}{\text{ }}\color{white}{\text{t}}\color{white}{\text{h}}\color{white}{\text{i}}\color{white}{\text{s}}\color{white}{\text{ }}\color{white}{\text{ }}\color{white}{\text{}}\end{array}$