JEE Main Mathematics Relations, Functions, and Reasoning Previous Year Papers Questions With Solutions

For JEE Main other Engineering Entrance Exam Preparation,  JEE Main Physics Relations and Functions Previous Year Questions with Solutions is given below.

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Ans.(3) Clearly/is both one – one and onto Because if n is odd, values are set of all non¬negative integers and if n is an even, values are set of all negative integers.

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Ans.(2) f(- x) = -f(x) an odd function

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Ans.(2) If y = y(x) is symmetric about the line x = 2 then f(2 + x) = f(2 – x).

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Ans.(1) Reflexive and transitive only.
e.g. (3, 3), (6, 6), (9, 9), (12, 12) [Reflexive] (3, 6), (6, 12), (3, 12) [Transitive]

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Ans.(3) There is no information about co-domain therefore f(x) is not necessarily onto.

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