JEE MATHEMATICS MCQ: RELATIONS

1 Easy

1 of 1

Understanding +4 | -1

Let

R

be the relation on the set R of all real numbers defined by

aRb\;if\;\left| {a - b} \right| \le 1

, then

R

View answer and explanation

Correct option: A

Reflexive and symmetric

Option A (Reflexive and symmetric) is correct because |a-a| <= 1 and |a-b| <= 1 implies |b-a| <= 1.

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\mathrm{Z}

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(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})

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

\mathrm{R}

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R

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

x

y

\}

S

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

S

X

R

X

A

B

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R

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R