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JEE Math Practice Question

If $$y = \left( {{2 \over \pi }x - 1} \right) cosec\,x$$ is the solution of the differential equation, $${{dy} \over {dx}} + p\left( x \right)y = {2 \over \pi } cosec\,x$$, $$0 < x < {\pi \over 2}$$, then the function p(x) is equal to :

  1. A.cot x
  2. B.sec x
  3. C.tan x
  4. D.cosec x

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