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

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

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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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