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JEE Advanced Model Paper 5 with solutions for online practice

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Answer Q.49, Q.50 and Q.51 by appropriately matching the information given in the three columns ofthe following table.

Column 1 contains functions, column 2 contains exhaustive domains of functions. Column 3 contains monotomicbehaviour of functions corresponding to set A.
Column 1 Column 2 Column 3
     
(I) f(x) = cos−1√x2+2x+1 (i) [−
3
2
,
3
2
)		 (P) Strictly increasing in A
(II) f(x) = cot−1√x2+3x (II) (−∞,−
1
2
] ∪ [1, ∞)		 Q) Strictly decreasing in A
(III) f(x) = √3|x|−x−2 (iii) (-∞ , -3] ∪ [0 , ∞) (R) Constant in given interval in A
(IV) f(x) = sin−1[x+
1
2
] , where [.] represents greatest integer function		 (iv) [-2 , 0] (S) Neither increasing nor decreasing in its domain in A
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