## 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.

**Ans.**

**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.

**Ans.**

**Ans.**

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

**Ans.**

**Ans.**

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

**Ans.**

**Ans.**(1) Reflexive and transitive only.

e.g. (3, 3), (6, 6), (9, 9), (12, 12) [Reflexive] (3, 6), (6, 12), (3, 12) [Transitive]

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

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

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**

**Ans.**