Relations and Functions

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Q JEE MAIN 2020

The area (in sq. units) of the region $A=\{(x, y): \quad(x-1)[x] \leq y \leq 2 \sqrt{x}, 0 \leq x \leq 2\}$, where $[t]$ denotes the...

JEE Main Mathematics Hard

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Q JEE MAIN 2021

Which of the following is not correct for relation R on the set of real numbers ?

JEE Main Mathematics Easy

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Q JEE MAIN 2025

Let $A=\{0,1,2,3,4,5\}$. Let $R$ be a relation on $A$ defined by $(x, y) \in R$ if and only if $\max \{x, y\} \in\{3,4\}$. Then among...

JEE Main Mathematics Medium

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Q JEE MAIN 2025

The number of non-empty equivalence relations on the set {1,2,3} is :

JEE Main Mathematics Medium

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