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If x=2cos theta-3sin theta & y=2sin thet...

If `x=2cos theta-3sin theta` & `y=2sin theta+3cos theta` such that `(dy)/(dx)` at `theta=(pi)/(4)` is equal to `(a)/(b)` (where `a` & `b` are relatively prime),then `|a+b|` is equal to

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