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#### sbhatnagar

##### Active member

- Jan 27, 2012

- 95

__Challenge Problem__: A variable line $L$ passing through the point $B(2,5)$ intersects the lines $2x^2-5xy+2y^2=0$ at $P$ and $Q$. Find the locus of the point $R$ on $L$ such that distances $BP$, $BR$ and $BQ$ are in harmonic progression.