JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Analyzing +4 | -1

Let

{R_1} = \left\{ {\left( {a,b} \right) \in N \times N:\left| {a - b} \right| \leqslant 13} \right\}

and

{R_2} = \left\{ {\left( {a,b} \right) \in N \times N:\left| {a - b} \right| \ne 13} \right\}.

Then on

N:

View answer and explanation

Correct option: B

Neither

{R_1}

nor

{R_2}

is an equivalence relation

Option B (Neither

{R_1}

nor

{R_2}

is an equivalence relation) is correct because neither relation is transitive, and therefore neither can be an equivalence relation.

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\mathrm{Z}

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a d(b+c)=b c(a+d)

\mathrm{R}

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R=\{(x, y) \in W \times W \mid

x

y

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S

R = \{ \left( {a,\;b} \right):1 + ab > 0\}

S

X

R

X

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B

R

R

N

R = \left\{ {\left( {x,\;y} \right):4x + 3y = 20} \right\}

R