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Question

Match List I with List II

List - I (Domain)	List - II (Range)
A. $y=\frac{1}{2-\sin 3x}$	I. $\Bigg{(}1,\frac{7}{3}\Bigg{]}$
B. $y=\frac{{x}^2+x+2}{{x}^2+x+1},\, x\in R$	II. $\Bigg{[}\frac{\pi}{2},\pi\Bigg{)}\cup(\pi,\frac{3\pi}{2}\Bigg{]}$
C. $y=\sin x-\cos x$	III. $\Bigg{[}\frac{1}{3},1\Bigg{]}$
D. $y={\cot }^{-1}(-x)-{\tan }^{-1}x+{sec}^{-1}x$	IV. $[-\sqrt[]{2},\sqrt[]{2}]$

Choose the correct answer from the options given below:

1
2
3
4

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