Trigonometric Functions & Equations

Section: Mathematics
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Question : 8 of 30
 
Marks: +1, -0
Answer the following by appropriately matching the lists based on the information given in the paragraph
Let f(x)=sin(Ï€cosx) and g(x)=cos(2Ï€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:f1(x)=0}
Z={x:g(x)=0},W={x:g1(x)=0=}
List – I contains the sets X, Y, Z and W. List – II contains some information regarding these sets.
List IList II
I) XP) ⊇{
Ï€
2
,
3Ï€
2
,4Ï€
,7Ï€
}
II) YQ) an arithmetic progression
III)ZR) NOT an arithmetic progression
IV) WS) ⊇{
Ï€
6
,
7Ï€
6
,
13Ï€
6
}
T) ⊇{
Ï€
2
,
2Ï€
2
,Ï€
}
U) ⊇{
Ï€
6
,
3Ï€
4
}
Which of the following is the only CORRECT combination?
[JEE Adv 2019 P2]
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