Answer the following by appropriately matching the lists based on the information given in the paragraph Let f(x)=(π x) and g(x)=(2π 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: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 I List II I) X P) \{π/2,3π/2,4π,7π\} II) Y Q) an arithmetic progression III)Z R) NOT an arithmetic progression IV) W S) \{π/6,7π/6,13π/6\} T) \{π/2,2π/2,π\} U) \{π/6,3π/4\} Which of the following is the only CORRECT combination? [JEE Adv 2019 P2]

Question

Answer the following by appropriately matching the lists based on the information given in the paragraph Let f(x)=(π x) and g(x)=(2π 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: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 I List II I) X P) \{π/2,3π/2,4π,7π\} II) Y Q) an arithmetic progression III)Z R) NOT an arithmetic progression IV) W S) \{π/6,7π/6,13π/6\} T) \{π/2,2π/2,π\} U) \{π/6,3π/4\} Which of the following is the only CORRECT combination? [JEE Adv 2019 P2]

Examsnet · Accepted Answer

Correct Answer is : (II), (Q), (T)

List I	List II
I) X	P) $\supseteq\{\frac{\pi}{2},\frac{3\pi}{2},4\pi,7\pi\}$
II) Y	Q) an arithmetic progression
III)Z	R) NOT an arithmetic progression
IV) W	S) $\supseteq\{\frac{\pi}{6},\frac{7\pi}{6},\frac{13\pi}{6}\}$
	T) $\supseteq\{\frac{\pi}{2},\frac{2\pi}{2},\pi\}$
	U) $\supseteq\{\frac{\pi}{6},\frac{3\pi}{4}\}$

JEE Advanced 2019 Paper 2