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If P and Q are two given points on the c...

If P and Q are two given points on the curve `y = x + 1/x` such that `vec(OP).hat i = 1` and `vec(OQ).hat i =-1` where i is a unit vector along x-axis then the length of the vector `3vec(OP)+ 2 vec(OQ)` is (A) `sqrt5` (B) `3sqrt5` (C) `2sqrt5` (D) `5sqrt5`

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