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Given n sraight lines and a fixed point ...

Given n sraight lines and a fixed point O.A straight line is drawn through O meeting these lines in the points `R_(1),R_(2),R_(3),……R_(n)` and a point R is taken on it such that
` n/(OR)= sum_(r=1)^(n) 1/(OR_(r))` ,
Prove that the locus of R is a straight line .

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