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MCQ (Single Correct Answer)

+4

-1

Let $$R_{1}$$ and $$R_{2}$$ be two relations defined on $$\mathbb{R}$$ by

$$a \,R_{1} \,b \Leftrightarrow a b \geq 0$$ and $$a \,R_{2} \,b \Leftrightarrow a \geq b$$

Then,

2

JEE Main 2022 (Online) 29th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let a set A = A_{1} $$\cup$$ A_{2} $$\cup$$ ..... $$\cup$$ A_{k}, where A_{i} $$\cap$$ A_{j} = $$\phi$$ for i $$\ne$$ j, 1 $$\le$$ j, j $$\le$$ k. Define the relation R from A to A by R = {(x, y) : y $$\in$$ A_{i} if and only if x $$\in$$ A_{i}, 1 $$\le$$ i $$\le$$ k}. Then, R is :

3

JEE Main 2022 (Online) 28th June Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let R_{1} = {(a, b) $$\in$$ N $$\times$$ N : |a $$-$$ b| $$\le$$ 13} and

R_{2} = {(a, b) $$\in$$ N $$\times$$ N : |a $$-$$ b| $$\ne$$ 13}. Then on N :

4

JEE Main 2021 (Online) 31st August Morning Shift

MCQ (Single Correct Answer)

+4

-1

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

Questions Asked from Sets and Relations (MCQ (Single Correct Answer))

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