Trigonometric Functions & Equations
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Question : 7
Total: 30
Answer the following by appropriately matching the lists based on the information given in the paragraph. Let f ( x ) = s i n ( π c o s x ) and g ( x ) = c o s ( 2 π s i n x ) 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 1 ( x ) = 0 }
Z = { x : g ( x ) = 0 } , W = { x : g 1 ( x ) = 0 } List – I contains the sets X, Y, Z and W. List – II contains some information regarding these sets.
Which of the following is the only CORRECT combination?
| List I | List II | ||||||
|---|---|---|---|---|---|---|---|
| I) X | P) | ||||||
| II) Y | Q) an arithmetic progression | ||||||
| III)Z | R) NOT an arithmetic progression | ||||||
| IV) W | S) | ||||||
| T) | |||||||
| U) |
[JEE Adv 2019 P2]
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