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A variable line is drawn through O to cu...

A variable line is drawn through O to cut two fixed straight lines `L_1` and `L_2` in R and S. A point P is chosen the variable line such `(m+n)/(OP) =m/(OR)+n/(OS)` Find the locus of P which is a straight ine passing through the point of intersection of `L_1 and L_2`

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