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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Given, a straight lines and a fixed point OO, a straight line is drawn through OO meeting lines in the points R1,R2,R3,…,RnR_1, R_2, R_3, \ldots, R_n and on it a point RR is taken such that nOR=1OR1+1OR2+…+1ORn\frac{n}{O R}=\frac{1}{O R_1}+\frac{1}{O R_2}+\ldots+\frac{1}{O R_n}, then the locus of RR is
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Correct option: A
a straight line
Option A (a straight line) is correct because the locus of R, derived from the given harmonic mean condition, results in a linear equation.

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