JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Understanding +4 | -1

Let

R

be a relation defined by

R=\{(a, b): a \geq b\}

, where

a

and

b

are real numbers, then

R

View answer and explanation

Correct option: B

reflexive, transitive but not symmetric

Option B (reflexive, transitive but not symmetric) is correct because the relation

a \geq b

holds for

a=b

(reflexive), if

a \geq b

and

b \geq c

then

a \geq c

(transitive), but

a \geq b

does not imply

b \geq a

(not symmetric).

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\mathrm{Z}

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\mathrm{N}

\mathrm{R}

\mathrm{N} \times \mathrm{N}

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

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

\mathrm{R}

W

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

R

R

N

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

R