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Let p and q be the position vectors of P...

Let p and q be the position vectors of P and Q respectively with respect to O and `|p| = p, |q| = q`. The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If `vec( OR)` and `vec(OS)` are perpendicular, then (A) `9p^2=4q^2` (B) `4p^2=9q^2` (C) `9p=4q` (D) `4p=9q`

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