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Answer the following by appropriately matching the lists based on the information given in the paragraph Let f(x) = sin( cosx) and g(x) =

Answer the following by appropriately matching the lists based on the information given in the paragraph Let f(x) = sin( cosx) and g(x) = cos(2 sinx) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order: X = {x: f(x)=0}, Y = {x: f(x)=0}, Z= {x: g(x)=0}, W = {x: g'(x)=0} List - I contains the set X, Y, Z and W. List - II contains some information regarding these sets. List - I List - II (1) X (II) Y (III) Z (IV) W (P) (Q) (R) (S) (T) (U) 2 2 ( 3 2 2 3 an arithmetic progression NOT an arithmetic progression 13. (6 6 6 2 3 4, 7 4 Which of the following is the only CORRECT combination? A. (II), (R), (S) B. C. (II), (Q), (T) D. (I), (Q), (U) (I), (P), (R)

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